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332364105 = 3257385869
BaseRepresentation
bin10011110011110…
…111100101001001
3212011101211211200
4103303313211021
51140041122410
652551414413
711144022363
oct2363674511
9764354750
10332364105
1116067a087
1293384409
1353b1cb68
14321d9d33
151e2a33c0
hex13cf7949

332364105 has 12 divisors (see below), whose sum is σ = 576097860. Its totient is φ = 177260832.

The previous prime is 332364103. The next prime is 332364187. The reversal of 332364105 is 501463233.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 224370441 + 107993664 = 14979^2 + 10392^2 .

It is not a de Polignac number, because 332364105 - 21 = 332364103 is a prime.

It is a super-2 number, since 2×3323641052 = 220931796584902050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332364101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3692890 + ... + 3692979.

It is an arithmetic number, because the mean of its divisors is an integer number (48008155).

Almost surely, 2332364105 is an apocalyptic number.

It is an amenable number.

332364105 is a deficient number, since it is larger than the sum of its proper divisors (243733755).

332364105 is a wasteful number, since it uses less digits than its factorization.

332364105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385880 (or 7385877 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 332364105 is about 18230.8558493561. The cubic root of 332364105 is about 692.6885965580.

The spelling of 332364105 in words is "three hundred thirty-two million, three hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 7385869 22157607 36929345 66472821 110788035 332364105