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368345408 = 2619492953
BaseRepresentation
bin10101111101001…
…000000101000000
3221200002212220112
4111331020011000
51223244023113
6100314530452
712061612214
oct2575100500
9850085815
10368345408
11179a153a2
12a3436a28
135b40a482
1436cc4944
152250e5a8
hex15f48140

368345408 has 28 divisors (see below), whose sum is σ = 731558100. Its totient is φ = 184015872.

The previous prime is 368345401. The next prime is 368345423. The reversal of 368345408 is 804543863.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 298321984 + 70023424 = 17272^2 + 8368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368345401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123260 + ... + 126212.

It is an arithmetic number, because the mean of its divisors is an integer number (26127075).

Almost surely, 2368345408 is an apocalyptic number.

It is an amenable number.

368345408 is a deficient number, since it is larger than the sum of its proper divisors (363212692).

368345408 is a wasteful number, since it uses less digits than its factorization.

368345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The square root of 368345408 is about 19192.3268000522. The cubic root of 368345408 is about 716.8337094186.

The spelling of 368345408 in words is "three hundred sixty-eight million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 1949 2953 3898 5906 7796 11812 15592 23624 31184 47248 62368 94496 124736 188992 5755397 11510794 23021588 46043176 92086352 184172704 368345408