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331662968 = 237213371759
BaseRepresentation
bin10011110001001…
…100011001111000
3212010002020001122
4103301030121320
51134401203333
652524404412
711135042300
oct2361143170
9763066048
10331662968
1116024032a
12930a6708
13539359a0
1432096600
151e1b5798
hex13c4c678

331662968 has 96 divisors (see below), whose sum is σ = 800553600. Its totient is φ = 127588608.

The previous prime is 331662959. The next prime is 331662997. The reversal of 331662968 is 869266133.

It is a super-2 number, since 2×3316629682 = 220000648685138048, 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 23 ways as a sum of consecutive naturals, for example, 187673 + ... + 189431.

It is an arithmetic number, because the mean of its divisors is an integer number (8339100).

Almost surely, 2331662968 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 331662968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400276800).

331662968 is an abundant number, since it is smaller than the sum of its proper divisors (468890632).

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

331662968 is a wasteful number, since it uses less digits than its factorization.

331662968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1818 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 331662968 is about 18211.6162929049. The cubic root of 331662968 is about 692.2011677493.

The spelling of 331662968 in words is "three hundred thirty-one million, six hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 74 91 98 104 148 182 196 259 296 364 392 481 518 637 728 962 1036 1274 1759 1813 1924 2072 2548 3367 3518 3626 3848 5096 6734 7036 7252 12313 13468 14072 14504 22867 23569 24626 26936 45734 47138 49252 65083 86191 91468 94276 98504 130166 160069 172382 182936 188552 260332 320138 344764 455581 520664 640276 689528 846079 911162 1120483 1280552 1692158 1822324 2240966 3189067 3384316 3644648 4481932 5922553 6378134 6768632 8963864 11845106 12756268 23690212 25512536 41457871 47380424 82915742 165831484 331662968