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323643648 = 283617683
BaseRepresentation
bin10011010010100…
…110100100000000
3211112222210121210
4103102212210000
51130323044043
652040450120
711006632326
oct2322464400
9745883553
10323643648
11156763299
1290479940
1352088823
1430da9d16
151d62e633
hex134a6900

323643648 has 72 divisors (see below), whose sum is σ = 864023328. Its totient is φ = 107548672.

The previous prime is 323643629. The next prime is 323643659. The reversal of 323643648 is 846346323.

It is a nude number because it is divisible by every one of its digits.

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, 473515 + ... + 474197.

It is an arithmetic number, because the mean of its divisors is an integer number (12000324).

Almost surely, 2323643648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432011664).

323643648 is an abundant number, since it is smaller than the sum of its proper divisors (540379680).

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

323643648 is an equidigital number, since it uses as much as digits as its factorization.

323643648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1305 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 323643648 is about 17990.0986100688. The cubic root of 323643648 is about 686.5766499442.

The spelling of 323643648 in words is "three hundred twenty-three million, six hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 617 683 768 1234 1366 1851 2049 2468 2732 3702 4098 4936 5464 7404 8196 9872 10928 14808 16392 19744 21856 29616 32784 39488 43712 59232 65568 78976 87424 118464 131136 157952 174848 236928 262272 421411 473856 524544 842822 1264233 1685644 2528466 3371288 5056932 6742576 10113864 13485152 20227728 26970304 40455456 53940608 80910912 107881216 161821824 323643648