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34064004031 = 1712171646479
BaseRepresentation
bin11111101110010111…
…110111001110111111
310020220222102200211221
4133232113313032333
51024230341112111
623352045454211
72314065154051
oct375627671677
9106828380757
1034064004031
11134a0273452
126727b71367
13329b336105
14191209d8d1
15d457e3371
hex7ee5f73bf

34064004031 has 8 divisors (see below), whose sum is σ = 36097427520. Its totient is φ = 32033875968.

The previous prime is 34064004001. The next prime is 34064004053. The reversal of 34064004031 is 13040046043.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34064004031 - 25 = 34064003999 is a prime.

It is a super-2 number, since 2×340640040312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34064003987 and 34064004005.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 802551 + ... + 843928.

It is an arithmetic number, because the mean of its divisors is an integer number (4512178440).

Almost surely, 234064004031 is an apocalyptic number.

34064004031 is a deficient number, since it is larger than the sum of its proper divisors (2033423489).

34064004031 is a wasteful number, since it uses less digits than its factorization.

34064004031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647713.

The product of its (nonzero) digits is 3456, while the sum is 25.

The spelling of 34064004031 in words is "thirty-four billion, sixty-four million, four thousand, thirty-one".

Divisors: 1 17 1217 20689 1646479 27990143 2003764943 34064004031