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368776404 = 2232113269337
BaseRepresentation
bin10101111110110…
…001010011010100
3221200220210010100
4111332301103110
51223401321104
6100332054100
712065355603
oct2576612324
9850823110
10368776404
1117a18a197
12a3604330
135b52b6b9
1436d97a3a
1522597139
hex15fb14d4

368776404 has 72 divisors (see below), whose sum is σ = 946731240. Its totient is φ = 121024512.

The previous prime is 368776391. The next prime is 368776409. The reversal of 368776404 is 404677863.

It can be written as a sum of positive squares in 4 ways, for example, as 35640900 + 333135504 = 5970^2 + 18252^2 .

It is a super-2 number, since 2×3687764042 = 271992072294342432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 368776404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368776409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1094124 + ... + 1094460.

It is an arithmetic number, because the mean of its divisors is an integer number (13149045).

Almost surely, 2368776404 is an apocalyptic number.

It is an amenable number.

368776404 is an abundant number, since it is smaller than the sum of its proper divisors (577954836).

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

368776404 is a wasteful number, since it uses less digits than its factorization.

368776404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 368776404 is about 19203.5518589661. The cubic root of 368776404 is about 717.1131862653.

The spelling of 368776404 in words is "three hundred sixty-eight million, seven hundred seventy-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 269 337 339 452 538 674 678 807 1011 1017 1076 1348 1356 1614 2022 2034 2421 3033 3228 4044 4068 4842 6066 9684 12132 30397 38081 60794 76162 90653 91191 114243 121588 152324 181306 182382 228486 271959 273573 342729 362612 364764 456972 543918 547146 685458 815877 1087836 1094292 1370916 1631754 3263508 10243789 20487578 30731367 40975156 61462734 92194101 122925468 184388202 368776404