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380440845 = 32537415573
BaseRepresentation
bin10110101011010…
…001000100001101
3222111212101201200
4112223101010031
51234343101340
6101430100113
712266456661
oct2653210415
9874771650
10380440845
11185826924
12a74aa639
1360a83a35
14387528a1
15235ed330
hex16ad110d

380440845 has 48 divisors (see below), whose sum is σ = 693896112. Its totient is φ = 192568320.

The previous prime is 380440817. The next prime is 380440871. The reversal of 380440845 is 548044083.

It can be written as a sum of positive squares in 8 ways, for example, as 61496964 + 318943881 = 7842^2 + 17859^2 .

It is not a de Polignac number, because 380440845 - 27 = 380440717 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 65479 + ... + 71051.

It is an arithmetic number, because the mean of its divisors is an integer number (14456169).

Almost surely, 2380440845 is an apocalyptic number.

It is an amenable number.

380440845 is a deficient number, since it is larger than the sum of its proper divisors (313455267).

380440845 is a wasteful number, since it uses less digits than its factorization.

380440845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5662 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 380440845 is about 19504.8928476934. The cubic root of 380440845 is about 724.5956334058.

The spelling of 380440845 in words is "three hundred eighty million, four hundred forty thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 37 41 45 111 123 185 205 333 369 555 615 1517 1665 1845 4551 5573 7585 13653 16719 22755 27865 50157 68265 83595 206201 228493 250785 618603 685479 1031005 1142465 1855809 2056437 3093015 3427395 8454241 9279045 10282185 25362723 42271205 76088169 126813615 380440845