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331345872 = 2432111316091
BaseRepresentation
bin10011101111111…
…110111111010000
3212002111010002100
4103233332333100
51134311031442
652513520400
711132251644
oct2357767720
9762433070
10331345872
11160044070
1292b73100
1353854560
1432012c24
151e15184c
hex13bfefd0

331345872 has 120 divisors (see below), whose sum is σ = 1089492768. Its totient is φ = 92678400.

The previous prime is 331345867. The next prime is 331345891. The reversal of 331345872 is 278543133.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12547 + ... + 28637.

Almost surely, 2331345872 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 331345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544746384).

331345872 is an abundant number, since it is smaller than the sum of its proper divisors (758146896).

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

331345872 is a wasteful number, since it uses less digits than its factorization.

331345872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16129 (or 16120 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 331345872 is about 18202.9083390540. The cubic root of 331345872 is about 691.9804977408.

The spelling of 331345872 in words is "three hundred thirty-one million, three hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 16091 20592 32182 48273 64364 96546 128728 144819 177001 193092 209183 257456 289638 354002 386184 418366 531003 579276 627549 708004 772368 836732 1062006 1158552 1255098 1416008 1593009 1673464 1882647 2124012 2301013 2317104 2510196 2832016 3186018 3346928 3765294 4248024 4602026 5020392 6372036 6903039 7530588 8496048 9204052 10040784 12744072 13806078 15061176 18408104 20709117 25488144 27612156 30122352 36816208 41418234 55224312 82836468 110448624 165672936 331345872