Search a number
-
+
321012296 = 231119375189
BaseRepresentation
bin10011001000100…
…100001001001000
3211101001010002022
4103020210021020
51124134343141
651504224012
710645362623
oct2310441110
9741033068
10321012296
11155226320
128b60b008
1351676c07
14308c2dba
151d2aeb4b
hex13224248

321012296 has 64 divisors (see below), whose sum is σ = 709992000. Its totient is φ = 134472960.

The previous prime is 321012287. The next prime is 321012337. The reversal of 321012296 is 692210123.

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, 59270 + ... + 64458.

It is an arithmetic number, because the mean of its divisors is an integer number (11093625).

Almost surely, 2321012296 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 321012296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354996000).

321012296 is an abundant number, since it is smaller than the sum of its proper divisors (388979704).

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

321012296 is a wasteful number, since it uses less digits than its factorization.

321012296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 321012296 is about 17916.8160117807. The cubic root of 321012296 is about 684.7108702181.

The spelling of 321012296 in words is "three hundred twenty-one million, twelve thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 19 22 37 38 44 74 76 88 148 152 209 296 407 418 703 814 836 1406 1628 1672 2812 3256 5189 5624 7733 10378 15466 20756 30932 41512 57079 61864 98591 114158 191993 197182 228316 383986 394364 456632 767972 788728 1084501 1535944 2111923 2169002 3647867 4223846 4338004 7295734 8447692 8676008 14591468 16895384 29182936 40126537 80253074 160506148 321012296