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368491344 = 243135910009
BaseRepresentation
bin10101111101101…
…011101101010000
3221200101022002120
4111331223231100
51223313210334
6100322014240
712063060534
oct2575535520
9850338076
10368491344
1117a005001
12a34a7380
135b45ba20
1436d21bc4
152253c949
hex15f6bb50

368491344 has 80 divisors (see below), whose sum is σ = 1042641600. Its totient is φ = 111449088.

The previous prime is 368491307. The next prime is 368491367. The reversal of 368491344 is 443194863.

It is a junction number, because it is equal to n+sod(n) for n = 368491296 and 368491305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31812 + ... + 41820.

It is an arithmetic number, because the mean of its divisors is an integer number (13033020).

Almost surely, 2368491344 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 368491344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521320800).

368491344 is an abundant number, since it is smaller than the sum of its proper divisors (674150256).

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

368491344 is a wasteful number, since it uses less digits than its factorization.

368491344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10092 (or 10086 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 368491344 is about 19196.1283596459. The cubic root of 368491344 is about 716.9283651679.

The spelling of 368491344 in words is "three hundred sixty-eight million, four hundred ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 10009 12272 18408 20018 30027 36816 40036 60054 80072 120108 130117 160144 240216 260234 390351 480432 520468 590531 780702 1040936 1181062 1561404 1771593 2081872 2362124 3122808 3543186 4724248 6245616 7086372 7676903 9448496 14172744 15353806 23030709 28345488 30707612 46061418 61415224 92122836 122830448 184245672 368491344