Search a number
-
+
330563688 = 233713151357
BaseRepresentation
bin10011101101000…
…000000001101000
3212001000101010120
4103231000001220
51134111014223
652445043240
711122513350
oct2355000150
9761011116
10330563688
1115a65a434
1292856520
135363c520
1431c8bb60
151e049be3
hex13b40068

330563688 has 64 divisors (see below), whose sum is σ = 1017125760. Its totient is φ = 87181056.

The previous prime is 330563687. The next prime is 330563693. The reversal of 330563688 is 886365033.

It is a super-2 number, since 2×3305636882 = 218544703648322688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (330563687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73495 + ... + 77862.

It is an arithmetic number, because the mean of its divisors is an integer number (15892590).

Almost surely, 2330563688 is an apocalyptic number.

It is an amenable number.

330563688 is an abundant number, since it is smaller than the sum of its proper divisors (686562072).

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

330563688 is a wasteful number, since it uses less digits than its factorization.

330563688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151386 (or 151382 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 330563688 is about 18181.4105063386. The cubic root of 330563688 is about 691.4355661149.

The spelling of 330563688 in words is "three hundred thirty million, five hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 151357 302714 454071 605428 908142 1059499 1210856 1816284 1967641 2118998 3178497 3632568 3935282 4237996 5902923 6356994 7870564 8475992 11805846 12713988 13773487 15741128 23611692 25427976 27546974 41320461 47223384 55093948 82640922 110187896 165281844 330563688