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930800385 = 325291674271
BaseRepresentation
bin110111011110101…
…110001100000001
32101212110120002100
4313132232030001
53401241103020
6232210141013
732031446514
oct6736561401
92355416070
10930800385
1143845a119
1221b881769
1311aabba78
148b896d7b
1556ab2a90
hex377ae301

930800385 has 48 divisors (see below), whose sum is σ = 1679408640. Its totient is φ = 476327040.

The previous prime is 930800369. The next prime is 930800407. The reversal of 930800385 is 583008039.

It is not a de Polignac number, because 930800385 - 24 = 930800369 is a prime.

It is a super-2 number, since 2×9308003852 = 1732778713432296450, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215800 + ... + 220070.

It is an arithmetic number, because the mean of its divisors is an integer number (34987680).

Almost surely, 2930800385 is an apocalyptic number.

It is an amenable number.

930800385 is a deficient number, since it is larger than the sum of its proper divisors (748608255).

930800385 is a wasteful number, since it uses less digits than its factorization.

930800385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 930800385 is about 30509.0213707356. The cubic root of 930800385 is about 976.3799473774.

The spelling of 930800385 in words is "nine hundred thirty million, eight hundred thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 145 167 261 435 501 835 1305 1503 2505 4271 4843 7515 12813 14529 21355 24215 38439 43587 64065 72645 123859 192195 217935 371577 619295 713257 1114731 1857885 2139771 3566285 5573655 6419313 10698855 20684453 32096565 62053359 103422265 186160077 310266795 930800385