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328689056 = 2519237769
BaseRepresentation
bin10011100101110…
…110010110100000
3211220111010121202
4103211312112200
51133121022211
652340540332
711100545063
oct2345662640
9756433552
10328689056
11159599a53
12920b16a8
1353134187
14319208da
151dcc953b
hex139765a0

328689056 has 72 divisors (see below), whose sum is σ = 702327780. Its totient is φ = 151289856.

The previous prime is 328689029. The next prime is 328689071. The reversal of 328689056 is 650986823.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 318979600 + 9709456 = 17860^2 + 3116^2 .

It is a super-2 number, since 2×3286890562 = 216072991068342272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328689056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427040 + ... + 427808.

Almost surely, 2328689056 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 328689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351163890).

328689056 is an abundant number, since it is smaller than the sum of its proper divisors (373638724).

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

328689056 is a wasteful number, since it uses less digits than its factorization.

328689056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 328689056 is about 18129.7836721788. The cubic root of 328689056 is about 690.1260401272.

The spelling of 328689056 in words is "three hundred twenty-eight million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 361 592 608 703 722 769 1184 1406 1444 1538 2812 2888 3076 5624 5776 6152 11248 11552 12304 13357 14611 22496 24608 26714 28453 29222 53428 56906 58444 106856 113812 116888 213712 227624 233776 277609 427424 455248 467552 540607 555218 910496 1081214 1110436 2162428 2220872 4324856 4441744 8649712 8883488 10271533 17299424 20543066 41086132 82172264 164344528 328689056