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620634664 = 2313531091033
BaseRepresentation
bin100100111111100…
…010001000101000
31121020211111201001
4210333202020220
52232340302124
6141330204344
721244210336
oct4477421050
91536744631
10620634664
11299372011
12153a236b4
139b771b60
145c5d8b56
1539746b44
hex24fe2228

620634664 has 64 divisors (see below), whose sum is σ = 1289811600. Its totient is φ = 278194176.

The previous prime is 620634653. The next prime is 620634673. The reversal of 620634664 is 466436026.

It can be written as a sum of positive squares in 8 ways, for example, as 495418564 + 125216100 = 22258^2 + 11190^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 600292 + ... + 601324.

Almost surely, 2620634664 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 620634664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644905800).

620634664 is an abundant number, since it is smaller than the sum of its proper divisors (669176936).

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

620634664 is a wasteful number, since it uses less digits than its factorization.

620634664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 620634664 is about 24912.5402960035. The cubic root of 620634664 is about 852.9927556630.

The spelling of 620634664 in words is "six hundred twenty million, six hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 109 212 218 424 436 689 872 1033 1378 1417 2066 2756 2834 4132 5512 5668 5777 8264 11336 11554 13429 23108 26858 46216 53716 54749 75101 107432 109498 112597 150202 218996 225194 300404 437992 450388 600808 711737 900776 1423474 1463761 2846948 2927522 5693896 5855044 5967641 11710088 11935282 23870564 47741128 77579333 155158666 310317332 620634664