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34252040504 = 23111724599311
BaseRepresentation
bin11111111001100101…
…001010100100111000
310021102002020221101202
4133321211022210320
51030122010244004
623422444033332
72321540353253
oct377145124470
9107362227352
1034252040504
1113587424aa0
12677ab32848
1332cb291bb6
14192d04a09a
15d57087b1e
hex7f994a938

34252040504 has 64 divisors (see below), whose sum is σ = 74220364800. Its totient is φ = 14645747200.

The previous prime is 34252040497. The next prime is 34252040527. The reversal of 34252040504 is 40504025243.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3674009 + ... + 3683319.

It is an arithmetic number, because the mean of its divisors is an integer number (1159693200).

Almost surely, 234252040504 is an apocalyptic number.

34252040504 is a gapful number since it is divisible by the number (34) 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 34252040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110182400).

34252040504 is an abundant number, since it is smaller than the sum of its proper divisors (39968324296).

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

34252040504 is a wasteful number, since it uses less digits than its factorization.

34252040504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11800 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 34252040504 its reverse (40504025243), we get a palindrome (74756065747).

The spelling of 34252040504 in words is "thirty-four billion, two hundred fifty-two million, forty thousand, five hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 2459 4918 9311 9836 18622 19672 27049 37244 41803 54098 74488 83606 102421 108196 158287 167212 204842 216392 316574 334424 409684 459833 633148 819368 919666 1266296 1741157 1839332 3482314 3678664 6964628 13929256 22895749 45791498 91582996 183165992 251853239 389227733 503706478 778455466 1007412956 1556910932 2014825912 3113821864 4281505063 8563010126 17126020252 34252040504