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315330304 = 281916449
BaseRepresentation
bin10010110010111…
…000111100000000
3210222100102212011
4102302320330000
51121211032204
651142342304
710546156222
oct2262707400
9728312764
10315330304
11151aa5363
128972a994
13504378a3
142dc44412
151ca3b304
hex12cb8f00

315330304 has 36 divisors (see below), whose sum is σ = 632822400. Its totient is φ = 156815360.

The previous prime is 315330283. The next prime is 315330313. The reversal of 315330304 is 403033513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45672 + ... + 52120.

It is an arithmetic number, because the mean of its divisors is an integer number (17578400).

Almost surely, 2315330304 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 315330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316411200).

315330304 is an abundant number, since it is smaller than the sum of its proper divisors (317492096).

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

315330304 is an equidigital number, since it uses as much as digits as its factorization.

315330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 315330304 is about 17757.5421722715. The cubic root of 315330304 is about 680.6469506179.

Adding to 315330304 its reverse (403033513), we get a palindrome (718363817).

It can be divided in two parts, 31 and 5330304, that added together give a palindrome (5330335).

The spelling of 315330304 in words is "three hundred fifteen million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 764 1528 3056 6112 6449 12224 12898 24448 25796 48896 51592 103184 206368 412736 825472 1231759 1650944 2463518 4927036 9854072 19708144 39416288 78832576 157665152 315330304