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358799364 = 223272112412
BaseRepresentation
bin10101011000101…
…101100000000100
3221000010220012100
4111120231200010
51213323034424
655334152100
711614513200
oct2530554004
9830126170
10358799364
11174595300
12a01b2630
1359447421
143591bb00
1521775dc9
hex1562d804

358799364 has 243 divisors, whose sum is σ = 1188647733. Its totient is φ = 90921600.

The previous prime is 358799359. The next prime is 358799407. The reversal of 358799364 is 463997853.

The square root of 358799364 is 18942.

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., 17288964 + 341510400 = 4158^2 + 18480^2 .

Its product of digits (4898880) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 358799364.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 8751184 + ... + 8751224.

Almost surely, 2358799364 is an apocalyptic number.

358799364 is the 18942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 358799364

358799364 is an abundant number, since it is smaller than the sum of its proper divisors (829848369).

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

358799364 is a wasteful number, since it uses less digits than its factorization.

358799364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The cubic root of 358799364 is about 710.5869404316.

The spelling of 358799364 in words is "three hundred fifty-eight million, seven hundred ninety-nine thousand, three hundred sixty-four".