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385353945 = 3258563421
BaseRepresentation
bin10110111110000…
…000100011011001
3222212010000020100
4112332000203121
51242122311240
6102123250013
712356311614
oct2676004331
9885100210
10385353945
11188582139
12a9079909
1361ab40b2
143927117b
1523c6de30
hex16f808d9

385353945 has 12 divisors (see below), whose sum is σ = 667946916. Its totient is φ = 205522080.

The previous prime is 385353931. The next prime is 385353961. The reversal of 385353945 is 549353583.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 85821696 + 299532249 = 9264^2 + 17307^2 .

It is not a de Polignac number, because 385353945 - 24 = 385353929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 8563421 = 385353945 / (3 + 8 + 5 + 3 + 5 + 3 + 9 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 385353945.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4281666 + ... + 4281755.

It is an arithmetic number, because the mean of its divisors is an integer number (55662243).

Almost surely, 2385353945 is an apocalyptic number.

It is an amenable number.

385353945 is a deficient number, since it is larger than the sum of its proper divisors (282592971).

385353945 is a wasteful number, since it uses less digits than its factorization.

385353945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8563432 (or 8563429 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 385353945 is about 19630.4341521017. The cubic root of 385353945 is about 727.7014994330.

The spelling of 385353945 in words is "three hundred eighty-five million, three hundred fifty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 8563421 25690263 42817105 77070789 128451315 385353945