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331404324 = 2231713112401
BaseRepresentation
bin10011110000001…
…101010000100100
3212002121002021020
4103300031100210
51134314414244
652515051140
711132614236
oct2360152044
9762532236
10331404324
11160083a79
1292ba0ab0
1353875044
143202a256
151e163d19
hex13c0d424

331404324 has 48 divisors (see below), whose sum is σ = 825080256. Its totient is φ = 103168000.

The previous prime is 331404323. The next prime is 331404329. The reversal of 331404324 is 423404133.

It is a junction number, because it is equal to n+sod(n) for n = 331404294 and 331404303.

It is not an unprimeable number, because it can be changed into a prime (331404323) 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, 20524 + ... + 32924.

It is an arithmetic number, because the mean of its divisors is an integer number (17189172).

Almost surely, 2331404324 is an apocalyptic number.

331404324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331404324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412540128).

331404324 is an abundant number, since it is smaller than the sum of its proper divisors (493675932).

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

331404324 is a wasteful number, since it uses less digits than its factorization.

331404324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 331404324 is about 18204.5138358595. The cubic root of 331404324 is about 692.0211856033.

Adding to 331404324 its reverse (423404133), we get a palindrome (754808457).

The spelling of 331404324 in words is "three hundred thirty-one million, four hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 8908 12401 13362 24802 26724 37203 49604 74406 148812 210817 421634 632451 843268 1264902 1624531 2529804 3249062 4873593 6498124 9747186 19494372 27617027 55234054 82851081 110468108 165702162 331404324