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368397328 = 241310916249
BaseRepresentation
bin10101111101010…
…100110000010000
3221200012112010111
4111331110300100
51223302203303
6100320011104
712062216455
oct2575246020
9850175114
10368397328
11179a50402
12a3460a94
135b427cb0
1436cd982c
152251eb6d
hex15f54c10

368397328 has 40 divisors (see below), whose sum is σ = 775775000. Its totient is φ = 168459264.

The previous prime is 368397317. The next prime is 368397331. The reversal of 368397328 is 823793863.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 325730304 = 6532^2 + 18048^2 .

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 7 ways as a sum of consecutive naturals, for example, 14548 + ... + 30796.

It is an arithmetic number, because the mean of its divisors is an integer number (19394375).

Almost surely, 2368397328 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 368397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387887500).

368397328 is an abundant number, since it is smaller than the sum of its proper divisors (407377672).

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

368397328 is a wasteful number, since it uses less digits than its factorization.

368397328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16379 (or 16373 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The square root of 368397328 is about 19193.6793762947. The cubic root of 368397328 is about 716.8673881858.

The spelling of 368397328 in words is "three hundred sixty-eight million, three hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1417 1744 2834 5668 11336 16249 22672 32498 64996 129992 211237 259984 422474 844948 1689896 1771141 3379792 3542282 7084564 14169128 23024833 28338256 46049666 92099332 184198664 368397328