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385574724 = 223210710409
BaseRepresentation
bin10110111110110…
…110011101000100
3222212112020002100
4112332312131010
51242201342344
6102132112100
712361221363
oct2676663504
9885466070
10385574724
11188712aa7
12a9165630
1361b60732
14392cb7da
1523cb4569
hex16fb6744

385574724 has 18 divisors (see below), whose sum is σ = 974647310. Its totient is φ = 128524896.

The previous prime is 385574713. The next prime is 385574729. The reversal of 385574724 is 427475583.

385574724 is a `hidden beast` number, since 3 + 8 + 5 + 574 + 72 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 351562500 + 34012224 = 18750^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 385574724.

It is not an unprimeable number, because it can be changed into a prime (385574729) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5355169 + ... + 5355240.

Almost surely, 2385574724 is an apocalyptic number.

It is an amenable number.

385574724 is an abundant number, since it is smaller than the sum of its proper divisors (589072586).

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

385574724 is a wasteful number, since it uses less digits than its factorization.

385574724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10710419 (or 10710414 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 385574724 is about 19636.0567324501. The cubic root of 385574724 is about 727.8404457523.

The spelling of 385574724 in words is "three hundred eighty-five million, five hundred seventy-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 10710409 21420818 32131227 42841636 64262454 96393681 128524908 192787362 385574724