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328740864 = 212331863
BaseRepresentation
bin10011100110000…
…011000000000000
3211220120202200120
4103212003000000
51133124201424
652342020240
711101152114
oct2346030000
9756522616
10328740864
11159624971
1292117680
135315192a
1431935744
151dcd9a79
hex13983000

328740864 has 104 divisors (see below), whose sum is σ = 905859072. Its totient is φ = 105922560.

The previous prime is 328740859. The next prime is 328740901. The reversal of 328740864 is 468047823.

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, 380497 + ... + 381359.

Almost surely, 2328740864 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 328740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452929536).

328740864 is an abundant number, since it is smaller than the sum of its proper divisors (577118208).

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

328740864 is an equidigital number, since it uses as much as digits as its factorization.

328740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 328740864 is about 18131.2124249869. The cubic root of 328740864 is about 690.1622974662.

The spelling of 328740864 in words is "three hundred twenty-eight million, seven hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 863 992 1024 1488 1536 1726 1984 2048 2589 2976 3072 3452 3968 4096 5178 5952 6144 6904 7936 10356 11904 12288 13808 15872 20712 23808 26753 27616 31744 41424 47616 53506 55232 63488 80259 82848 95232 107012 110464 126976 160518 165696 190464 214024 220928 321036 331392 380928 428048 441856 642072 662784 856096 883712 1284144 1325568 1712192 1767424 2568288 2651136 3424384 3534848 5136576 5302272 6848768 10273152 10604544 13697536 20546304 27395072 41092608 54790144 82185216 109580288 164370432 328740864