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3976336320 = 263511376547
BaseRepresentation
bin1110110100000010…
…0001001111000000
3101021010011210222120
43231000201033000
531120420230240
61454322404240
7200352205155
oct35500411700
911233153876
103976336320
1117605a1370
1292b800680
134b4a57838
1429a15422c
1518414dad0
hexed0213c0

3976336320 has 112 divisors (see below), whose sum is σ = 13772619648. Its totient is φ = 963957760.

The previous prime is 3976336307. The next prime is 3976336339. The reversal of 3976336320 is 236336793.

It is a super-2 number, since 2×39763363202 = 31622501059502284800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177714 + ... + 198833.

Almost surely, 23976336320 is an apocalyptic number.

3976336320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3976336320 is an abundant number, since it is smaller than the sum of its proper divisors (9796283328).

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

3976336320 is a wasteful number, since it uses less digits than its factorization.

3976336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376578 (or 376568 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 42.

The square root of 3976336320 is about 63058.1978810051. The cubic root of 3976336320 is about 1584.2645461632.

The spelling of 3976336320 in words is "three billion, nine hundred seventy-six million, three hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 376547 753094 1129641 1506188 1882735 2259282 3012376 3765470 4142017 4518564 5648205 6024752 7530940 8284034 9037128 11296410 12049504 12426051 15061880 16568068 18074256 20710085 22592820 24099008 24852102 30123760 33136136 36148512 41420170 45185640 49704204 60247520 62130255 66272272 72297024 82840340 90371280 99408408 120495040 124260510 132544544 165680680 180742560 198816816 248521020 265089088 331361360 361485120 397633632 497042040 662722720 795267264 994084080 1325445440 1988168160 3976336320