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332315313 = 31119352177
BaseRepresentation
bin10011110011101…
…011101010110001
3212011022100220120
4103303223222301
51140033042223
652550400453
711143430211
oct2363535261
9764270816
10332315313
11160646460
1293360129
1353b038a5
14321c6241
151e293be3
hex13cebab1

332315313 has 16 divisors (see below), whose sum is σ = 485881536. Its totient is φ = 200355840.

The previous prime is 332315311. The next prime is 332315323. The reversal of 332315313 is 313513233.

It is not a de Polignac number, because 332315313 - 21 = 332315311 is a prime.

It is a super-2 number, since 2×3323153132 = 220866934508575938, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332315311) 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 15 ways as a sum of consecutive naturals, for example, 19720 + ... + 32457.

It is an arithmetic number, because the mean of its divisors is an integer number (30367596).

Almost surely, 2332315313 is an apocalyptic number.

332315313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

332315313 is a deficient number, since it is larger than the sum of its proper divisors (153566223).

332315313 is a wasteful number, since it uses less digits than its factorization.

332315313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52384.

The product of its digits is 2430, while the sum is 24.

The square root of 332315313 is about 18229.5176293834. The cubic root of 332315313 is about 692.6546986777.

Adding to 332315313 its reverse (313513233), we get a palindrome (645828546).

The spelling of 332315313 in words is "three hundred thirty-two million, three hundred fifteen thousand, three hundred thirteen".

Divisors: 1 3 11 33 193 579 2123 6369 52177 156531 573947 1721841 10070161 30210483 110771771 332315313