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307493640 = 23325854149
BaseRepresentation
bin10010010100111…
…111101100001000
3210102121021222100
4102110333230020
51112204244030
650302353400
710422436626
oct2224775410
9712537870
10307493640
11148632583
1286b8b860
134b9228cc
142cba4516
151bede360
hex1253fb08

307493640 has 48 divisors (see below), whose sum is σ = 999355500. Its totient is φ = 81998208.

The previous prime is 307493639. The next prime is 307493657. The reversal of 307493640 is 46394703.

307493640 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 9 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247307076 + 60186564 = 15726^2 + 7758^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 307493595 and 307493604.

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, 426715 + ... + 427434.

Almost surely, 2307493640 is an apocalyptic number.

307493640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

307493640 is an abundant number, since it is smaller than the sum of its proper divisors (691861860).

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

307493640 is a wasteful number, since it uses less digits than its factorization.

307493640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854166 (or 854159 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 307493640 is about 17535.4965712409. The cubic root of 307493640 is about 674.9610512506.

The spelling of 307493640 in words is "three hundred seven million, four hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 854149 1708298 2562447 3416596 4270745 5124894 6833192 7687341 8541490 10249788 12812235 15374682 17082980 20499576 25624470 30749364 34165960 38436705 51248940 61498728 76873410 102497880 153746820 307493640