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331213312 = 291738053
BaseRepresentation
bin10011101111011…
…110101000000000
3212002020101020201
4103233132220000
51134242311222
652511014544
711131160323
oct2357365000
9762211221
10331213312
1115aa63511
1292b0a454
1353809111
1431dba7ba
151e127427
hex13bdea00

331213312 has 40 divisors (see below), whose sum is σ = 700726356. Its totient is φ = 155860992.

The previous prime is 331213297. The next prime is 331213313. The reversal of 331213312 is 213312133.

It can be written as a sum of positive squares in 2 ways, for example, as 327465216 + 3748096 = 18096^2 + 1936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331213312.

It is not an unprimeable number, because it can be changed into a prime (331213313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10323 + ... + 27730.

Almost surely, 2331213312 is an apocalyptic number.

331213312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331213312 is an abundant number, since it is smaller than the sum of its proper divisors (369513044).

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

331213312 is an equidigital number, since it uses as much as digits as its factorization.

331213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38088 (or 38072 counting only the distinct ones).

The product of its digits is 324, while the sum is 19.

The square root of 331213312 is about 18199.2667984180. The cubic root of 331213312 is about 691.8882062937. Note that the first 3 decimals are identical.

Adding to 331213312 its reverse (213312133), we get a palindrome (544525445).

The spelling of 331213312 in words is "three hundred thirty-one million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 38053 76106 152212 304424 608848 646901 1217696 1293802 2435392 2587604 4870784 5175208 9741568 10350416 19483136 20700832 41401664 82803328 165606656 331213312