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34484152608 = 2532119736641
BaseRepresentation
bin100000000111011010…
…100110100100100000
310022000021000110100100
4200013122212210200
51031110420340413
623501455022400
72330356314033
oct400732464440
9108007013310
1034484152608
1113696450284
12682480aa00
1333373b0639
141951bcb01a
15d6c636a73
hex8076a6920

34484152608 has 36 divisors (see below), whose sum is σ = 98064309798. Its totient is φ = 11494717440.

The previous prime is 34484152583. The next prime is 34484152667. The reversal of 34484152608 is 80625148443.

34484152608 is a `hidden beast` number, since 3 + 44 + 84 + 1 + 526 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22640619024 + 11843533584 = 150468^2 + 108828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 59868033 + ... + 59868608.

Almost surely, 234484152608 is an apocalyptic number.

It is an amenable number.

34484152608 is an abundant number, since it is smaller than the sum of its proper divisors (63580157190).

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

34484152608 is a wasteful number, since it uses less digits than its factorization.

34484152608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119736657 (or 119736646 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 34484152608 in words is "thirty-four billion, four hundred eighty-four million, one hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 119736641 239473282 359209923 478946564 718419846 957893128 1077629769 1436839692 1915786256 2155259538 2873679384 3831572512 4310519076 5747358768 8621038152 11494717536 17242076304 34484152608