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34332640031 = 292268715193
BaseRepresentation
bin11111111110011000…
…101000001100011111
310021121200220211011102
4133332120220030133
51030303123440111
623434443343315
72323536424304
oct377630501437
9107550824142
1034332640031
1113618975678
1267a1b21b3b
133311ba2121
141939a2b0ab
15d5e1a913b
hex7fe62831f

34332640031 has 12 divisors (see below), whose sum is σ = 35572922112. Its totient is φ = 33134238144.

The previous prime is 34332640009. The next prime is 34332640061. The reversal of 34332640031 is 13004623343.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-34332640031 is a prime.

It is a super-2 number, since 2×343326400312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34332639976 and 34332640003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34332640061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2252171 + ... + 2267363.

It is an arithmetic number, because the mean of its divisors is an integer number (2964410176).

Almost surely, 234332640031 is an apocalyptic number.

34332640031 is a deficient number, since it is larger than the sum of its proper divisors (1240282081).

34332640031 is a wasteful number, since it uses less digits than its factorization.

34332640031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17938 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The spelling of 34332640031 in words is "thirty-four billion, three hundred thirty-two million, six hundred forty thousand, thirty-one".

Divisors: 1 29 841 2687 15193 77923 440597 2259767 12777313 40823591 1183884139 34332640031