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34013021352 = 23375713011439
BaseRepresentation
bin11111101011010101…
…011000010010101000
310020210102111111202120
4133223111120102220
51024124313140402
623343025031240
72312605624362
oct375325302250
9106712444676
1034013021352
1113474511402
126712a85520
1332908c564b
1419093cbd32
15d410c23bc
hex7eb5584a8

34013021352 has 64 divisors (see below), whose sum is σ = 85269542400. Its totient is φ = 11306131200.

The previous prime is 34013021311. The next prime is 34013021359. The reversal of 34013021352 is 25312031043.

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

It is not an unprimeable number, because it can be changed into a prime (34013021359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23635849 + ... + 23637287.

It is an arithmetic number, because the mean of its divisors is an integer number (1332336600).

Almost surely, 234013021352 is an apocalyptic number.

It is an amenable number.

34013021352 is an abundant number, since it is smaller than the sum of its proper divisors (51256521048).

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

34013021352 is a wasteful number, since it uses less digits than its factorization.

34013021352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34013021352 its reverse (25312031043), we get a palindrome (59325052395).

The spelling of 34013021352 in words is "thirty-four billion, thirteen million, twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 757 1301 1439 1514 2271 2602 2878 3028 3903 4317 4542 5204 5756 6056 7806 8634 9084 10408 11512 15612 17268 18168 31224 34536 984857 1089323 1872139 1969714 2178646 2954571 3267969 3744278 3939428 4357292 5616417 5909142 6535938 7488556 7878856 8714584 11232834 11818284 13071876 14977112 22465668 23636568 26143752 44931336 1417209223 2834418446 4251627669 5668836892 8503255338 11337673784 17006510676 34013021352