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34102333472 = 2517131947527
BaseRepresentation
bin11111110000101010…
…000101000000100000
310021000122120000221212
4133300222011000200
51024320144132342
623355535205252
72315042023514
oct376052050040
9107018500855
1034102333472
111350a972979
126738976828
1332a626645c
1419171da144
15d48d65182
hex7f0a85020

34102333472 has 48 divisors (see below), whose sum is σ = 71143712640. Its totient is φ = 16035652608.

The previous prime is 34102333459. The next prime is 34102333477. The reversal of 34102333472 is 27433320143.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34102333477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693773 + ... + 741299.

It is an arithmetic number, because the mean of its divisors is an integer number (1482160680).

Almost surely, 234102333472 is an apocalyptic number.

34102333472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34102333472 is an abundant number, since it is smaller than the sum of its proper divisors (37041379168).

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

34102333472 is a wasteful number, since it uses less digits than its factorization.

34102333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48873 (or 48865 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The spelling of 34102333472 in words is "thirty-four billion, one hundred two million, three hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 1319 2638 5276 10552 21104 22423 42208 44846 47527 89692 95054 179384 190108 358768 380216 717536 760432 807959 1520864 1615918 3231836 6463672 12927344 25854688 62688113 125376226 250752452 501504904 1003009808 1065697921 2006019616 2131395842 4262791684 8525583368 17051166736 34102333472