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324311312 = 241317412237
BaseRepresentation
bin10011010101001…
…001100100010000
3211121020201111002
4103111021210100
51131010430222
652103041132
711015413013
oct2325114420
9747221432
10324311312
11157079986
12907401a8
13522606b0
143110137a
151d712392
hex13549910

324311312 has 80 divisors (see below), whose sum is σ = 734296752. Its totient is φ = 137379840.

The previous prime is 324311311. The next prime is 324311347. The reversal of 324311312 is 213113423.

It can be written as a sum of positive squares in 8 ways, for example, as 9461776 + 314849536 = 3076^2 + 17744^2 .

It is a super-2 number, since 2×3243113122 = 210355654182322688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (324311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143858 + ... + 146094.

Almost surely, 2324311312 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 324311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367148376).

324311312 is an abundant number, since it is smaller than the sum of its proper divisors (409985440).

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

324311312 is a wasteful number, since it uses less digits than its factorization.

324311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 324311312 is about 18008.6454793246. The cubic root of 324311312 is about 687.0484524488.

Adding to 324311312 its reverse (213113423), we get a palindrome (537424735).

The spelling of 324311312 in words is "three hundred twenty-four million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 104 136 164 208 221 272 328 442 533 656 697 884 1066 1394 1768 2132 2237 2788 3536 4264 4474 5576 8528 8948 9061 11152 17896 18122 29081 35792 36244 38029 58162 72488 76058 91717 116324 144976 152116 183434 232648 304232 366868 465296 494377 608464 733736 988754 1192321 1467472 1559189 1977508 2384642 3118378 3955016 4769284 6236756 7910032 9538568 12473512 19077136 20269457 24947024 40538914 81077828 162155656 324311312