Search a number
-
+
930338370 = 232513795161
BaseRepresentation
bin110111011100111…
…101011001000010
32101211121002022200
4313130331121002
53401131311440
6232152214030
732024513523
oct6734753102
92354532280
10930338370
11438173a95
1221b69a316
1311a9896a0
148b7b684a
1556a20c30
hex3773d642

930338370 has 48 divisors (see below), whose sum is σ = 2604950712. Its totient is φ = 229006080.

The previous prime is 930338341. The next prime is 930338399. The reversal of 930338370 is 73833039.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (930338341) and next prime (930338399).

It can be written as a sum of positive squares in 4 ways, for example, as 722373129 + 207965241 = 26877^2 + 14421^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 396411 + ... + 398750.

Almost surely, 2930338370 is an apocalyptic number.

930338370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

930338370 is an abundant number, since it is smaller than the sum of its proper divisors (1674612342).

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

930338370 is a wasteful number, since it uses less digits than its factorization.

930338370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795187 (or 795184 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 930338370 is about 30501.4486541213. The cubic root of 930338370 is about 976.2183743033.

The spelling of 930338370 in words is "nine hundred thirty million, three hundred thirty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 795161 1590322 2385483 3975805 4770966 7156449 7951610 10337093 11927415 14312898 20674186 23854830 31011279 35782245 51685465 62022558 71564490 93033837 103370930 155056395 186067674 310112790 465169185 930338370