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387355005 = 32553162413
BaseRepresentation
bin10111000101101…
…001000101111101
3222222212200011200
4113011221011331
51243130330010
6102234210113
712412314612
oct2705510575
9888780150
10387355005
11189719604
12a9883939
1362334b5b
1439632509
1524016cc0
hex1716917d

387355005 has 24 divisors (see below), whose sum is σ = 684087768. Its totient is φ = 202690176.

The previous prime is 387354959. The next prime is 387355027. The reversal of 387355005 is 500553783.

387355005 is a `hidden beast` number, since 38 + 73 + 550 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 208571364 + 178783641 = 14442^2 + 13371^2 .

It is not a de Polignac number, because 387355005 - 28 = 387354749 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78822 + ... + 83591.

It is an arithmetic number, because the mean of its divisors is an integer number (28503657).

Almost surely, 2387355005 is an apocalyptic number.

It is an amenable number.

387355005 is a deficient number, since it is larger than the sum of its proper divisors (296732763).

387355005 is a wasteful number, since it uses less digits than its factorization.

387355005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162477 (or 162474 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 387355005 is about 19681.3364637669. The cubic root of 387355005 is about 728.9589244527.

The spelling of 387355005 in words is "three hundred eighty-seven million, three hundred fifty-five thousand, five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 162413 487239 812065 1461717 2436195 7308585 8607889 25823667 43039445 77471001 129118335 387355005