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331694880 = 25351125711
BaseRepresentation
bin10011110001010…
…100001100100000
3212010010211211120
4103301110030200
51134403214010
652525212240
711135234316
oct2361241440
9763124746
10331694880
11160262300
1293101080
135394737a
14320a40b6
151e1bee70
hex13c54320

331694880 has 144 divisors (see below), whose sum is σ = 1148660352. Its totient is φ = 80396800.

The previous prime is 331694827. The next prime is 331694911. The reversal of 331694880 is 88496133.

It is a happy number.

It is a super-2 number, since 2×3316948802 = 220042986836428800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 55225 + ... + 60935.

It is an arithmetic number, because the mean of its divisors is an integer number (7976808).

Almost surely, 2331694880 is an apocalyptic number.

331694880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331694880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574330176).

331694880 is an abundant number, since it is smaller than the sum of its proper divisors (816965472).

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

331694880 is a wasteful number, since it uses less digits than its factorization.

331694880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 331694880 is about 18212.4924159216. The cubic root of 331694880 is about 692.2233678112.

The spelling of 331694880 in words is "three hundred thirty-one million, six hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5711 5808 7260 9680 11422 11616 14520 17133 19360 22844 28555 29040 34266 45688 57110 58080 62821 68532 85665 91376 114220 125642 137064 171330 182752 188463 228440 251284 274128 314105 342660 376926 456880 502568 548256 628210 685320 691031 753852 913760 942315 1005136 1256420 1370640 1382062 1507704 1884630 2010272 2073093 2512840 2741280 2764124 3015408 3455155 3769260 4146186 5025680 5528248 6030816 6910310 7538520 8292372 10051360 10365465 11056496 13820620 15077040 16584744 20730930 22112992 27641240 30154080 33169488 41461860 55282480 66338976 82923720 110564960 165847440 331694880