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331962680 = 235719232713
BaseRepresentation
bin10011110010010…
…101100100111000
3212010122110012002
4103302111210320
51134440301210
652535040132
711140431140
oct2362254470
9763573162
10331962680
11160425525
1293210048
1353a0c22a
1432133920
151e2244a5
hex13c95938

331962680 has 128 divisors (see below), whose sum is σ = 937958400. Its totient is φ = 103099392.

The previous prime is 331962677. The next prime is 331962721. The reversal of 331962680 is 86269133.

331962680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3319626802 = 220398441825564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121004 + ... + 123716.

It is an arithmetic number, because the mean of its divisors is an integer number (7327800).

Almost surely, 2331962680 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 331962680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468979200).

331962680 is an abundant number, since it is smaller than the sum of its proper divisors (605995720).

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

331962680 is a wasteful number, since it uses less digits than its factorization.

331962680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 331962680 is about 18219.8430289616. The cubic root of 331962680 is about 692.4096108136.

The spelling of 331962680 in words is "three hundred thirty-one million, nine hundred sixty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 23 28 35 38 40 46 56 70 76 92 95 115 133 140 152 161 184 190 230 266 280 322 380 437 460 532 644 665 760 805 874 920 1064 1288 1330 1610 1748 2185 2660 2713 3059 3220 3496 4370 5320 5426 6118 6440 8740 10852 12236 13565 15295 17480 18991 21704 24472 27130 30590 37982 51547 54260 61180 62399 75964 94955 103094 108520 122360 124798 151928 189910 206188 249596 257735 311995 360829 379820 412376 436793 499192 515470 623990 721658 759640 873586 1030940 1185581 1247980 1443316 1747172 1804145 2061880 2183965 2371162 2495960 2886632 3494344 3608290 4367930 4742324 5927905 7216580 8299067 8735860 9484648 11855810 14433160 16598134 17471720 23711620 33196268 41495335 47423240 66392536 82990670 165981340 331962680