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34400106614 = 2476116213701
BaseRepresentation
bin100000000010011001…
…111111100001110110
310021210101212110220202
4200002121333201312
51030422411402424
623445253400502
72325316040006
oct400231774166
9107711773822
1034400106614
1113652a66285
126800639132
133322b64793
141944990006
15d650842ae
hex80267f876

34400106614 has 32 divisors (see below), whose sum is σ = 53609461632. Its totient is φ = 16543440000.

The previous prime is 34400106593. The next prime is 34400106649. The reversal of 34400106614 is 41660100443.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9292964 + ... + 9296664.

It is an arithmetic number, because the mean of its divisors is an integer number (1675295676).

Almost surely, 234400106614 is an apocalyptic number.

34400106614 is a deficient number, since it is larger than the sum of its proper divisors (19209355018).

34400106614 is a wasteful number, since it uses less digits than its factorization.

34400106614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 34400106614 in words is "thirty-four billion, four hundred million, one hundred six thousand, six hundred fourteen".

Divisors: 1 2 47 61 94 122 1621 2867 3242 3701 5734 7402 76187 98881 152374 173947 197762 225761 347894 451522 4647407 5999321 9294814 10610767 11998642 21221534 281968087 365958581 563936174 731917162 17200053307 34400106614