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234114300240 = 24353726364223
BaseRepresentation
bin1101101000001001001…
…1001011100101010000
3211101021211100200202220
43122002103023211100
512313431230101430
6255314533541040
722625366501202
oct3320223134520
9741254320686
10234114300240
1190318467967
12394584a4780
13190ccbb5452
14b48cb14772
1561533a0110
hex36824cb950

234114300240 has 80 divisors (see below), whose sum is σ = 745369340928. Its totient is φ = 60743167488.

The previous prime is 234114300221. The next prime is 234114300341. The reversal of 234114300240 is 42003411432.

234114300240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 234114300240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13173232 + ... + 13190991.

Almost surely, 2234114300240 is an apocalyptic number.

234114300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234114300240 is an abundant number, since it is smaller than the sum of its proper divisors (511255040688).

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

234114300240 is a wasteful number, since it uses less digits than its factorization.

234114300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364276 (or 26364270 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234114300240 its reverse (42003411432), we get a palindrome (276117711672).

The spelling of 234114300240 in words is "two hundred thirty-four billion, one hundred fourteen million, three hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 26364223 52728446 79092669 105456892 131821115 158185338 210913784 263642230 316370676 395463345 421827568 527284460 632741352 790926690 975476251 1054568920 1265482704 1581853380 1950952502 2109137840 2926428753 3163706760 3901905004 4877381255 5852857506 6327413520 7803810008 9754762510 11705715012 14632143765 15607620016 19509525020 23411430024 29264287530 39019050040 46822860048 58528575060 78038100080 117057150120 234114300240