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328072320 = 2732556957
BaseRepresentation
bin10011100011011…
…111110010000000
3211212022210121200
4103203133302000
51132441303240
652315421200
711062366032
oct2343376200
9755283550
10328072320
11159208654
1291a54800
1352c79544
14317ddc52
151dc06930
hex138dfc80

328072320 has 96 divisors (see below), whose sum is σ = 1132894620. Its totient is φ = 87484416.

The previous prime is 328072319. The next prime is 328072337. The reversal of 328072320 is 23270823.

It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 28643904 = 17304^2 + 5352^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 22719 + ... + 34238.

Almost surely, 2328072320 is an apocalyptic number.

328072320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328072320 is an abundant number, since it is smaller than the sum of its proper divisors (804822300).

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

328072320 is a wasteful number, since it uses less digits than its factorization.

328072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56982 (or 56967 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 328072320 is about 18112.7667682218. The cubic root of 328072320 is about 689.6941303418.

The spelling of 328072320 in words is "three hundred twenty-eight million, seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 56957 113914 170871 227828 284785 341742 455656 512613 569570 683484 854355 911312 1025226 1139140 1366968 1708710 1822624 2050452 2278280 2563065 2733936 3417420 3645248 4100904 4556560 5126130 5467872 6834840 7290496 8201808 9113120 10252260 10935744 13669680 16403616 18226240 20504520 21871488 27339360 32807232 36452480 41009040 54678720 65614464 82018080 109357440 164036160 328072320