Search a number
-
+
332393664 = 26310131709
BaseRepresentation
bin10011110011111…
…110110011000000
3212011110100101110
4103303332303000
51140043044124
652552203320
711144204511
oct2363766300
9764410343
10332393664
1116069a309
1293399540
1353b30455
1432206a08
151e2ac029
hex13cfecc0

332393664 has 56 divisors (see below), whose sum is σ = 880841520. Its totient is φ = 110623744.

The previous prime is 332393651. The next prime is 332393693. The reversal of 332393664 is 466393233.

It is a super-2 number, since 2×3323936642 = 220971095734689792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193642 + ... + 195350.

Almost surely, 2332393664 is an apocalyptic number.

It is an amenable number.

332393664 is an abundant number, since it is smaller than the sum of its proper divisors (548447856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

332393664 is a wasteful number, since it uses less digits than its factorization.

332393664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its digits is 209952, while the sum is 39.

The square root of 332393664 is about 18231.6665173538. Note that the first 3 decimals coincide. The cubic root of 332393664 is about 692.7091308405.

The spelling of 332393664 in words is "three hundred thirty-two million, three hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1013 1709 2026 3039 3418 4052 5127 6078 6836 8104 10254 12156 13672 16208 20508 24312 27344 32416 41016 48624 54688 64832 82032 97248 109376 164064 194496 328128 1731217 3462434 5193651 6924868 10387302 13849736 20774604 27699472 41549208 55398944 83098416 110797888 166196832 332393664