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321042312 = 23332336379
BaseRepresentation
bin10011001000101…
…011011110001000
3211101002122021000
4103020223132020
51124141323222
651505015000
710645546263
oct2310533610
9741078230
10321042312
11155246928
128b624460
1351687786
14308cdcda
151d2b89ac
hex1322b788

321042312 has 64 divisors (see below), whose sum is σ = 895752000. Its totient is φ = 106538112.

The previous prime is 321042307. The next prime is 321042317. The reversal of 321042312 is 213240123.

It is an interprime number because it is at equal distance from previous prime (321042307) and next prime (321042317).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321042317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 47139 + ... + 53517.

It is an arithmetic number, because the mean of its divisors is an integer number (13996125).

Almost surely, 2321042312 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 321042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447876000).

321042312 is an abundant number, since it is smaller than the sum of its proper divisors (574709688).

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

321042312 is a wasteful number, since it uses less digits than its factorization.

321042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 321042312 is about 17917.6536410324. The cubic root of 321042312 is about 684.7322106685.

Adding to 321042312 its reverse (213240123), we get a palindrome (534282435).

The spelling of 321042312 in words is "three hundred twenty-one million, forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 233 466 699 932 1398 1864 2097 2796 4194 5592 6291 6379 8388 12582 12758 16776 19137 25164 25516 38274 50328 51032 57411 76548 114822 153096 172233 229644 344466 459288 688932 1377864 1486307 2972614 4458921 5945228 8917842 11890456 13376763 17835684 26753526 35671368 40130289 53507052 80260578 107014104 160521156 321042312