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332640513 = 371723389
BaseRepresentation
bin10011110100111…
…011000100000001
3212011220220000000
4103310323010001
51140123444023
653001350213
711146253262
oct2364730401
9764826000
10332640513
11160848817
1293498369
1353bb890a
143226c969
151e30a243
hex13d3b101

332640513 has 64 divisors (see below), whose sum is σ = 552614400. Its totient is φ = 199127808.

The previous prime is 332640493. The next prime is 332640541. The reversal of 332640513 is 315046233.

It is a happy number.

332640513 is a `hidden beast` number, since 3 + 3 + 2 + 640 + 5 + 13 = 666.

It is not a de Polignac number, because 332640513 - 214 = 332624129 is a prime.

It is a super-2 number, since 2×3326405132 = 221299421777806338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (332640613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 854923 + ... + 855311.

It is an arithmetic number, because the mean of its divisors is an integer number (8634600).

Almost surely, 2332640513 is an apocalyptic number.

It is an amenable number.

332640513 is a deficient number, since it is larger than the sum of its proper divisors (219973887).

332640513 is an equidigital number, since it uses as much as digits as its factorization.

332640513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

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

The square root of 332640513 is about 18238.4350479969. The cubic root of 332640513 is about 692.8805663632.

Adding to 332640513 its reverse (315046233), we get a palindrome (647686746).

The spelling of 332640513 in words is "three hundred thirty-two million, six hundred forty thousand, five hundred thirteen".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 243 389 391 459 621 729 1167 1173 1377 1863 2187 3501 3519 4131 5589 6613 8947 10503 10557 12393 16767 19839 26841 31509 31671 37179 50301 59517 80523 94527 95013 152099 178551 241569 283581 285039 456297 535653 724707 850743 855117 1368891 1606959 2174121 4106673 4820877 6522363 12320019 14462631 19567089 36960057 110880171 332640513