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940604364 = 223276136089
BaseRepresentation
bin111000000100000…
…111101111001100
32102112220122121200
4320010013233030
53411243314424
6233200225500
732211001530
oct7004075714
92375818550
10940604364
11442a45a87
1222300b290
1311cb4233b
148ccc9bc0
155789c8c9
hex38107bcc

940604364 has 72 divisors (see below), whose sum is σ = 2722181280. Its totient is φ = 268261632.

The previous prime is 940604363. The next prime is 940604393. The reversal of 940604364 is 463406049.

940604364 is a `hidden beast` number, since 9 + 40 + 604 + 3 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (940604363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151432 + ... + 157520.

Almost surely, 2940604364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940604364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361090640).

940604364 is an abundant number, since it is smaller than the sum of its proper divisors (1781576916).

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

940604364 is a wasteful number, since it uses less digits than its factorization.

940604364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 940604364 is about 30669.2739398897. The cubic root of 940604364 is about 979.7960022422.

The spelling of 940604364 in words is "nine hundred forty million, six hundred four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 613 1226 1839 2452 3678 4291 5517 6089 7356 8582 11034 12178 12873 17164 18267 22068 24356 25746 36534 38619 42623 51492 54801 73068 77238 85246 109602 127869 154476 170492 219204 255738 383607 511476 767214 1534428 3732557 7465114 11197671 14930228 22395342 26127899 33593013 44790684 52255798 67186026 78383697 104511596 134372052 156767394 235151091 313534788 470302182 940604364