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321131394 = 232172394391
BaseRepresentation
bin10011001001000…
…001001110000010
3211101021011110100
4103021001032002
51124202201034
651510543230
710646400063
oct2311011602
9741234410
10321131394
111552a7851
128b667b16
13516b919c
143091456a
151d2d5099
hex13241382

321131394 has 48 divisors (see below), whose sum is σ = 739964160. Its totient is φ = 100302720.

The previous prime is 321131383. The next prime is 321131417. The reversal of 321131394 is 493131123.

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, 70939 + ... + 75329.

It is an arithmetic number, because the mean of its divisors is an integer number (15415920).

Almost surely, 2321131394 is an apocalyptic number.

321131394 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 321131394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369982080).

321131394 is an abundant number, since it is smaller than the sum of its proper divisors (418832766).

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

321131394 is a wasteful number, since it uses less digits than its factorization.

321131394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4652 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 321131394 is about 17920.1393409761. The cubic root of 321131394 is about 684.7955373928.

The spelling of 321131394 in words is "three hundred twenty-one million, one hundred thirty-one thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 239 306 478 717 1434 2151 4063 4302 4391 8126 8782 12189 13173 24378 26346 36567 39519 73134 74647 79038 149294 223941 447882 671823 1049449 1343646 2098898 3148347 6296694 9445041 17840633 18890082 35681266 53521899 107043798 160565697 321131394