Search a number
-
+
930428317 = 741322293
BaseRepresentation
bin110111011101010…
…011010110011101
32101211202122201001
4313131103112131
53401142201232
6232154150301
732025340000
oct6735232635
92354678631
10930428317
11438225625
1221b722391
1311a9bb600
148b7db537
1556a3c6e7
hex3775359d

930428317 has 30 divisors (see below), whose sum is σ = 1175865402. Its totient is φ = 735842016.

The previous prime is 930428311. The next prime is 930428329. The reversal of 930428317 is 713824039.

It can be written as a sum of positive squares in 3 ways, for example, as 10458756 + 919969561 = 3234^2 + 30331^2 .

It is a de Polignac number, because none of the positive numbers 2k-930428317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930428311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 404623 + ... + 406915.

Almost surely, 2930428317 is an apocalyptic number.

It is an amenable number.

930428317 is a deficient number, since it is larger than the sum of its proper divisors (245437085).

930428317 is an equidigital number, since it uses as much as digits as its factorization.

930428317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 930428317 is about 30502.9230894352. The cubic root of 930428317 is about 976.2498342134.

The spelling of 930428317 in words is "nine hundred thirty million, four hundred twenty-eight thousand, three hundred seventeen".

Divisors: 1 7 13 49 91 169 343 637 1183 2293 2401 4459 8281 16051 29809 31213 57967 112357 208663 387517 405769 786499 1460641 2712619 5505493 10224487 18988333 71571409 132918331 930428317