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34052450340 = 22353147389527
BaseRepresentation
bin11111101101101011…
…110010100000100100
310020220011200201011110
4133231223302200210
51024214411402330
623350554105020
72313565023606
oct375553624044
9106804621143
1034052450340
11134947a1a47
12672411b170
133298b1c2cc
141910733176
15d447aedb0
hex7edaf2824

34052450340 has 96 divisors (see below), whose sum is σ = 100516921344. Its totient is φ = 8600734080.

The previous prime is 34052450297. The next prime is 34052450347. The reversal of 34052450340 is 4305425043.

It is a super-2 number, since 2×340524503402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34052450298 and 34052450307.

It is not an unprimeable number, because it can be changed into a prime (34052450347) 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, 107344 + ... + 282183.

It is an arithmetic number, because the mean of its divisors is an integer number (1047051264).

Almost surely, 234052450340 is an apocalyptic number.

34052450340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34052450340 is an abundant number, since it is smaller than the sum of its proper divisors (66464471004).

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

34052450340 is a wasteful number, since it uses less digits than its factorization.

34052450340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389617 (or 389615 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34052450340 its reverse (4305425043), we get a palindrome (38357875383).

The spelling of 34052450340 in words is "thirty-four billion, fifty-two million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 47 60 62 93 94 124 141 155 186 188 235 282 310 372 465 470 564 620 705 930 940 1410 1457 1860 2820 2914 4371 5828 7285 8742 14570 17484 21855 29140 43710 87420 389527 779054 1168581 1558108 1947635 2337162 3895270 4674324 5842905 7790540 11685810 12075337 18307769 23371620 24150674 36226011 36615538 48301348 54923307 60376685 72452022 73231076 91538845 109846614 120753370 144904044 181130055 183077690 219693228 241506740 274616535 362260110 366155380 549233070 567540839 724520220 1098466140 1135081678 1702622517 2270163356 2837704195 3405245034 5675408390 6810490068 8513112585 11350816780 17026225170 34052450340