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331243104 = 25329432767
BaseRepresentation
bin10011101111100…
…101111001100000
3212002021220010010
4103233211321200
51134244234404
652511404520
711131343223
oct2357457140
9762256103
10331243104
1115aa83935
1292b23740
135381984a
1431dc75ba
151e131189
hex13be5e60

331243104 has 96 divisors (see below), whose sum is σ = 920747520. Its totient is φ = 104090112.

The previous prime is 331243097. The next prime is 331243183. The reversal of 331243104 is 401342133.

It is a tau number, because it is divible by the number of its divisors (96).

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, 118329 + ... + 121095.

It is an arithmetic number, because the mean of its divisors is an integer number (9591120).

Almost surely, 2331243104 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 331243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460373760).

331243104 is an abundant number, since it is smaller than the sum of its proper divisors (589504416).

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

331243104 is a wasteful number, since it uses less digits than its factorization.

331243104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2852 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 331243104 is about 18200.0852745255. The cubic root of 331243104 is about 691.9089503426.

Adding to 331243104 its reverse (401342133), we get a palindrome (732585237).

The spelling of 331243104 in words is "three hundred thirty-one million, two hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 928 1032 1247 1376 1392 2064 2494 2767 2784 3741 4128 4988 5534 7482 8301 9976 11068 14964 16602 19952 22136 29928 33204 39904 44272 59856 66408 80243 88544 118981 119712 132816 160486 237962 240729 265632 320972 356943 475924 481458 641944 713886 951848 962916 1283888 1427772 1903696 1925832 2567776 2855544 3450449 3807392 3851664 5711088 6900898 7703328 10351347 11422176 13801796 20702694 27603592 41405388 55207184 82810776 110414368 165621552 331243104