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364199056 = 241323672
BaseRepresentation
bin10101101101010…
…011110010010000
3221101022020011221
4111231103302100
51221213332211
6100050014424
712011432554
oct2555236220
9841266157
10364199056
11177643161
12a1b77414
135a5b8100
1436525864
1521e90c71
hex15b53c90

364199056 has 45 divisors (see below), whose sum is σ = 766178361. Its totient is φ = 167633856.

The previous prime is 364199053. The next prime is 364199057. The reversal of 364199056 is 650991463.

The square root of 364199056 is 19084.

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., 53875600 + 310323456 = 7340^2 + 17616^2 .

It is a super-2 number, since 2×3641990562 = 265281904782582272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (364199051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 992185 + ... + 992551.

Almost surely, 2364199056 is an apocalyptic number.

364199056 is the 19084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364199056

364199056 is an abundant number, since it is smaller than the sum of its proper divisors (401979305).

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

364199056 is an equidigital number, since it uses as much as digits as its factorization.

364199056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The cubic root of 364199056 is about 714.1338271485.

The spelling of 364199056 in words is "three hundred sixty-four million, one hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 367 676 734 1352 1468 2704 2936 4771 5872 9542 19084 38168 62023 76336 124046 134689 248092 269378 496184 538756 992368 1077512 1750957 2155024 3501914 7003828 14007656 22762441 28015312 45524882 91049764 182099528 364199056