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234242300424 = 2331114916093701
BaseRepresentation
bin1101101000100111101…
…1011101101000001000
3211101121202012210000110
43122021323131220020
512314212012103144
6255335345234320
722631512462446
oct3321173355010
9741552183013
10234242300424
1190383743340
12394933329a0
13191205808c2
14b4a1b13b96
15615e7360b9
hex3689edda08

234242300424 has 128 divisors (see below), whose sum is σ = 643703760000. Its totient is φ = 70443264000.

The previous prime is 234242300419. The next prime is 234242300429. The reversal of 234242300424 is 424003242432.

234242300424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234242300419) and next prime (234242300429).

It is a junction number, because it is equal to n+sod(n) for n = 234242300391 and 234242300400.

It is not an unprimeable number, because it can be changed into a prime (234242300429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63289774 + ... + 63293474.

It is an arithmetic number, because the mean of its divisors is an integer number (5028935625).

Almost surely, 2234242300424 is an apocalyptic number.

234242300424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234242300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321851880000).

234242300424 is an abundant number, since it is smaller than the sum of its proper divisors (409461459576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234242300424 is a wasteful number, since it uses less digits than its factorization.

234242300424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 234242300424 its reverse (424003242432), we get a palindrome (658245542856).

The spelling of 234242300424 in words is "two hundred thirty-four billion, two hundred forty-two million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1609 1639 1788 3218 3278 3576 3701 4827 4917 6436 6556 7402 9654 9834 11103 12872 13112 14804 17699 19308 19668 22206 29608 35398 38616 39336 40711 44412 53097 70796 81422 88824 106194 122133 141592 162844 212388 239741 244266 325688 424776 479482 488532 551449 719223 958964 977064 1102898 1438446 1654347 1917928 2205796 2637151 2876892 3308694 4411592 5274302 5753784 5954909 6065939 6617388 7911453 10548604 11909818 12131878 13234776 15822906 17864727 18197817 21097208 23819636 24263756 31645812 35729454 36395634 47639272 48527512 63291624 65503999 71458908 72791268 131007998 142917816 145582536 196511997 262015996 393023994 524031992 786047988 887281441 1572095976 1774562882 2661844323 3549125764 5323688646 7098251528 9760095851 10647377292 19520191702 21294754584 29280287553 39040383404 58560575106 78080766808 117121150212 234242300424