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364541056 = 2711223537
BaseRepresentation
bin10101101110100…
…111010010000000
3221101221121022121
4111232213102000
51221310303211
6100101214024
712014355625
oct2556472200
9841847277
10364541056
11177857100
12a2101314
135a6a7989
14365b434c
152200c271
hex15ba7480

364541056 has 48 divisors (see below), whose sum is σ = 798291270. Its totient is φ = 165693440.

The previous prime is 364541003. The next prime is 364541077. The reversal of 364541056 is 650145463.

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 32718400 = 18216^2 + 5720^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3720 + ... + 27256.

Almost surely, 2364541056 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 364541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399145635).

364541056 is an abundant number, since it is smaller than the sum of its proper divisors (433750214).

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

364541056 is a wasteful number, since it uses less digits than its factorization.

364541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573 (or 23550 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 364541056 is about 19092.9582830948. The cubic root of 364541056 is about 714.3572922708.

The spelling of 364541056 in words is "three hundred sixty-four million, five hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 23537 47074 94148 188296 258907 376592 517814 753184 1035628 1506368 2071256 2847977 3012736 4142512 5695954 8285024 11391908 16570048 22783816 33140096 45567632 91135264 182270528 364541056