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3287305472 = 28113137657
BaseRepresentation
bin1100001111110000…
…0100110100000000
322111002122102100112
43003330010310000
523213022233342
61302110210452
7144314430653
oct30374046400
98432572315
103287305472
111437664290
12778ab3a28
13405089189
1423283389a
151438e6682
hexc3f04d00

3287305472 has 72 divisors (see below), whose sum is σ = 7389403392. Its totient is φ = 1445990400.

The previous prime is 3287305451. The next prime is 3287305499. The reversal of 3287305472 is 2745037823.

It is a super-2 number, since 2×32873054722 = 21612754532482285568, which contains 22 as substring.

It is a congruent number.

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, 68468 + ... + 106124.

Almost surely, 23287305472 is an apocalyptic number.

3287305472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287305472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694701696).

3287305472 is an abundant number, since it is smaller than the sum of its proper divisors (4102097920).

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

3287305472 is a wasteful number, since it uses less digits than its factorization.

3287305472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37715 (or 37701 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 3287305472 is about 57335.0283160303. The cubic root of 3287305472 is about 1486.8940408016.

The spelling of 3287305472 in words is "three billion, two hundred eighty-seven million, three hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 37657 43648 75314 87296 150628 301256 414227 602512 828454 1167367 1205024 1656908 2334734 2410048 3313816 4669468 4820096 6627632 9338936 9640192 12841037 13255264 18677872 25682074 26510528 37355744 51364148 53021056 74711488 102728296 106042112 149422976 205456592 298845952 410913184 821826368 1643652736 3287305472