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34229760804 = 22329713174827
BaseRepresentation
bin11111111000010000…
…001011001100100100
310021100112100000101200
4133320100023030210
51030100304321204
623420330322500
72321150111001
oct377020131444
9107315300350
1034229760804
1113575897a18
126773589430
1332c6790c45
14192a0ca8a8
15d55136539
hex7f840b324

34229760804 has 72 divisors (see below), whose sum is σ = 88085725728. Its totient is φ = 11205941760.

The previous prime is 34229760793. The next prime is 34229760841. The reversal of 34229760804 is 40806792243.

34229760804 is a `hidden beast` number, since 3 + 422 + 97 + 60 + 80 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34229760804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420039 + ... + 494865.

Almost surely, 234229760804 is an apocalyptic number.

It is an amenable number.

34229760804 is an abundant number, since it is smaller than the sum of its proper divisors (53855964924).

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

34229760804 is a wasteful number, since it uses less digits than its factorization.

34229760804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75065 (or 75060 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 34229760804 in words is "thirty-four billion, two hundred twenty-nine million, seven hundred sixty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 97 131 194 262 291 388 393 524 582 786 873 1164 1179 1572 1746 2358 3492 4716 12707 25414 38121 50828 74827 76242 114363 149654 152484 224481 228726 299308 448962 457452 673443 897924 1346886 2693772 7258219 9802337 14516438 19604674 21774657 29032876 29407011 39209348 43549314 58814022 65323971 87098628 88221033 117628044 130647942 176442066 261295884 352884132 950826689 1901653378 2852480067 3803306756 5704960134 8557440201 11409920268 17114880402 34229760804