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331531264 = 2105692
BaseRepresentation
bin10011110000101…
…100010000000000
3212002211112101201
4103300230100000
51134333000024
652521510544
711133653311
oct2360542000
9762745351
10331531264
11160160389
1293042454
13538baa5c
1432060608
151e18b744
hex13c2c400

331531264 has 33 divisors (see below), whose sum is σ = 663905557. Its totient is φ = 165474304.

The previous prime is 331531259. The next prime is 331531303. The reversal of 331531264 is 462135133.

The square root of 331531264 is 18208.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 276889600 = 7392^2 + 16640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 582372 + ... + 582940.

Almost surely, 2331531264 is an apocalyptic number.

331531264 is the 18208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331531264

331531264 is an abundant number, since it is smaller than the sum of its proper divisors (332374293).

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

331531264 is an frugal number, since it uses more digits than its factorization.

331531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 571 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The cubic root of 331531264 is about 692.1095308152.

Adding to 331531264 its reverse (462135133), we get a palindrome (793666397).

The spelling of 331531264 in words is "three hundred thirty-one million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 569 1024 1138 2276 4552 9104 18208 36416 72832 145664 291328 323761 582656 647522 1295044 2590088 5180176 10360352 20720704 41441408 82882816 165765632 331531264