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34064004002 = 2789241711311
BaseRepresentation
bin11111101110010111…
…110111001110100010
310020220222102200210212
4133232113313032202
51024230341112002
623352045454122
72314065154010
oct375627671642
9106828380725
1034064004002
11134a0273426
126727b71342
13329b3360b2
14191209d8b0
15d457e3352
hex7ee5f73a2

34064004002 has 32 divisors (see below), whose sum is σ = 59081218560. Its totient is φ = 14427578880.

The previous prime is 34064004001. The next prime is 34064004053. The reversal of 34064004002 is 20040046043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34064004001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3005927 + ... + 3017237.

It is an arithmetic number, because the mean of its divisors is an integer number (1846288080).

Almost surely, 234064004002 is an apocalyptic number.

34064004002 is a deficient number, since it is larger than the sum of its proper divisors (25017214558).

34064004002 is a wasteful number, since it uses less digits than its factorization.

34064004002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13826.

The product of its (nonzero) digits is 2304, while the sum is 23.

The spelling of 34064004002 in words is "thirty-four billion, sixty-four million, four thousand, two", and thus it is an eban number.

Divisors: 1 2 7 14 89 178 623 1246 2417 4834 11311 16919 22622 33838 79177 158354 215113 430226 1006679 1505791 2013358 3011582 7046753 14093506 27338687 54677374 191370809 382741618 2433143143 4866286286 17032002001 34064004002