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368882496 = 2632640421
BaseRepresentation
bin10101111111001…
…011001101000000
3221201010011122200
4111333023031000
51223413214441
6100334233200
712066310113
oct2577131500
9851104580
10368882496
1117a251974
12a3655800
135b567a88
1436dc457a
15225b87b6
hex15fcb340

368882496 has 42 divisors (see below), whose sum is σ = 1057336722. Its totient is φ = 122960640.

The previous prime is 368882471. The next prime is 368882497. The reversal of 368882496 is 694288863.

368882496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 197796096 + 171086400 = 14064^2 + 13080^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368882497) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 319635 + ... + 320786.

Almost surely, 2368882496 is an apocalyptic number.

368882496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

368882496 is an abundant number, since it is smaller than the sum of its proper divisors (688454226).

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

368882496 is a wasteful number, since it uses less digits than its factorization.

368882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640439 (or 640426 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 368882496 is about 19206.3139618200. The cubic root of 368882496 is about 717.1819476039.

The spelling of 368882496 in words is "three hundred sixty-eight million, eight hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 640421 1280842 1921263 2561684 3842526 5123368 5763789 7685052 10246736 11527578 15370104 20493472 23055156 30740208 40986944 46110312 61480416 92220624 122960832 184441248 368882496