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34332010325 = 5229891573389
BaseRepresentation
bin11111111110010110…
…001110011101010101
310021121122201211100222
4133332112032131111
51030302443312300
623434422044125
72323531162364
oct377626163525
9107548654328
1034332010325
1113618585558
1267a1879645
133311a11612
1419399057db
15d5e0d2785
hex7fe58e755

34332010325 has 48 divisors (see below), whose sum is σ = 44831394000. Its totient is φ = 26045859840.

The previous prime is 34332010319. The next prime is 34332010337. The reversal of 34332010325 is 52301023343.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 20426412241 + 13905598084 = 142921^2 + 117922^2 .

It is a de Polignac number, because none of the positive numbers 2k-34332010325 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34332010294 and 34332010303.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10128731 + ... + 10132119.

It is an arithmetic number, because the mean of its divisors is an integer number (933987375).

Almost surely, 234332010325 is an apocalyptic number.

It is an amenable number.

34332010325 is a deficient number, since it is larger than the sum of its proper divisors (10499383675).

34332010325 is a wasteful number, since it uses less digits than its factorization.

34332010325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 34332010325 its reverse (52301023343), we get a palindrome (86633033668).

The spelling of 34332010325 in words is "thirty-four billion, three hundred thirty-two million, ten thousand, three hundred twenty-five".

Divisors: 1 5 25 29 89 145 157 445 725 785 2225 2581 3389 3925 4553 12905 13973 16945 22765 64525 69865 84725 98281 113825 301621 349325 405217 491405 532073 1508105 2026085 2457025 2660365 7540525 8747009 10130425 13301825 15430117 43735045 47354497 77150585 218675225 236772485 385752925 1183862425 1373280413 6866402065 34332010325