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368309136 = 24313245403
BaseRepresentation
bin10101111100111…
…111001110010000
3221200001001011010
4111330333032100
51223241343021
6100314050520
712061401366
oct2574771620
9850031133
10368309136
111799a0118
12a3419a40
135b3c6b00
1436cb5636
1522503976
hex15f3f390

368309136 has 60 divisors (see below), whose sum is σ = 1030307568. Its totient is φ = 113323392.

The previous prime is 368309113. The next prime is 368309153. The reversal of 368309136 is 631903863.

It is a super-2 number, since 2×3683091362 = 271303239322132992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 368309094 and 368309103.

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 11 ways as a sum of consecutive naturals, for example, 14590 + ... + 30813.

Almost surely, 2368309136 is an apocalyptic number.

It is an amenable number.

368309136 is an abundant number, since it is smaller than the sum of its proper divisors (661998432).

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

368309136 is a wasteful number, since it uses less digits than its factorization.

368309136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45440 (or 45421 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 368309136 is about 19191.3818158047. The cubic root of 368309136 is about 716.8101791078.

The spelling of 368309136 in words is "three hundred sixty-eight million, three hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4056 8112 45403 90806 136209 181612 272418 363224 544836 590239 726448 1089672 1180478 1770717 2179344 2360956 3541434 4721912 7082868 7673107 9443824 14165736 15346214 23019321 28331472 30692428 46038642 61384856 92077284 122769712 184154568 368309136