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331376320 = 26511472003
BaseRepresentation
bin10011110000000…
…110011011000000
3212002112122212001
4103300012123000
51134313020240
652514313344
711132436502
oct2360063300
9762478761
10331376320
11160064a30
1292b88854
1353865382
143201dd72
151e15a89a
hex13c066c0

331376320 has 112 divisors (see below), whose sum is σ = 879579648. Its totient is φ = 117877760.

The previous prime is 331376239. The next prime is 331376351. The reversal of 331376320 is 23673133.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164439 + ... + 166441.

Almost surely, 2331376320 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 331376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439789824).

331376320 is an abundant number, since it is smaller than the sum of its proper divisors (548203328).

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

331376320 is a wasteful number, since it uses less digits than its factorization.

331376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 331376320 is about 18203.7446697101. The cubic root of 331376320 is about 692.0016928913.

The spelling of 331376320 in words is "three hundred thirty-one million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 376 440 470 517 704 752 880 940 1034 1504 1760 1880 2003 2068 2585 3008 3520 3760 4006 4136 5170 7520 8012 8272 10015 10340 15040 16024 16544 20030 20680 22033 32048 33088 40060 41360 44066 64096 80120 82720 88132 94141 110165 128192 160240 165440 176264 188282 220330 320480 352528 376564 440660 470705 640960 705056 753128 881320 941410 1035551 1410112 1506256 1762640 1882820 2071102 3012512 3525280 3765640 4142204 5177755 6025024 7050560 7531280 8284408 10355510 15062560 16568816 20711020 30125120 33137632 41422040 66275264 82844080 165688160 331376320