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34460204672 = 272069130121
BaseRepresentation
bin100000000101111111…
…001111111010000000
310021221120221202221202
4200011333033322000
51031033303022142
623455241440332
72326645623005
oct400577177200
9107846852852
1034460204672
11136839838a3
1268187a00a8
13333244726a
14194c9558ac
15d6a4a6032
hex805fcfe80

34460204672 has 32 divisors (see below), whose sum is σ = 68684897700. Its totient is φ = 17221642240.

The previous prime is 34460204659. The next prime is 34460204699. The reversal of 34460204672 is 27640206443.

It can be written as a sum of positive squares in 2 ways, for example, as 34438451776 + 21752896 = 185576^2 + 4664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×344602046722 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199772 + ... + 329892.

Almost surely, 234460204672 is an apocalyptic number.

34460204672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34460204672 is a deficient number, since it is larger than the sum of its proper divisors (34224693028).

34460204672 is a wasteful number, since it uses less digits than its factorization.

34460204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132204 (or 132192 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 38.

The spelling of 34460204672 in words is "thirty-four billion, four hundred sixty million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 2069 4138 8276 16552 33104 66208 130121 132416 260242 264832 520484 1040968 2081936 4163872 8327744 16655488 269220349 538440698 1076881396 2153762792 4307525584 8615051168 17230102336 34460204672