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331666992 = 243223239419
BaseRepresentation
bin10011110001001…
…101011000110000
3212010002102120200
4103301031120300
51134401320432
652524435200
711135060106
oct2361153060
9763072520
10331666992
11160243358
12930a8b00
1353937777
1432097c76
151e1b6a7c
hex13c4d630

331666992 has 120 divisors (see below), whose sum is σ = 974937600. Its totient is φ = 105055104.

The previous prime is 331666961. The next prime is 331667003. The reversal of 331666992 is 299666133.

It is a happy number.

It is a super-2 number, since 2×3316669922 = 220005987164656128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791359 + ... + 791777.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2331666992 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 331666992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800).

331666992 is an abundant number, since it is smaller than the sum of its proper divisors (643270608).

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

331666992 is a wasteful number, since it uses less digits than its factorization.

331666992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 686 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 331666992 is about 18211.7267715063. The cubic root of 331666992 is about 692.2039671838.

The spelling of 331666992 in words is "three hundred thirty-one million, six hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 239 276 368 414 419 478 552 717 828 838 956 1104 1257 1434 1656 1676 1912 2151 2514 2868 3312 3352 3771 3824 4302 5028 5497 5736 6704 7542 8604 9637 10056 10994 11472 15084 16491 17208 19274 20112 21988 28911 30168 32982 34416 38548 43976 49473 57822 60336 65964 77096 86733 87952 98946 100141 115644 131928 154192 173466 197892 200282 231288 263856 300423 346932 395784 400564 462576 600846 693864 791568 801128 901269 1201692 1387728 1602256 1802538 2303243 2403384 3605076 4606486 4806768 6909729 7210152 9212972 13819458 14420304 18425944 20729187 27638916 36851888 41458374 55277832 82916748 110555664 165833496 331666992