Search a number
-
+
630456 = 233109241
BaseRepresentation
bin10011001111010111000
31012000211020
42121322320
5130133311
621302440
75234031
oct2317270
91160736
10630456
113a0742
12264a20
13190c68
14125a88
15c6c06
hex99eb8

630456 has 32 divisors (see below), whose sum is σ = 1597200. Its totient is φ = 207360.

The previous prime is 630451. The next prime is 630467. The reversal of 630456 is 654036.

630456 = T393 + T394 + ... + T400.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2496 + ... + 2736.

2630456 is an apocalyptic number.

It is an amenable number.

630456 is an abundant number, since it is smaller than the sum of its proper divisors (966744).

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

630456 is a wasteful number, since it uses less digits than its factorization.

630456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 630456 is about 794.0125943586. The cubic root of 630456 is about 85.7468669789.

The spelling of 630456 in words is "six hundred thirty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 109 218 241 327 436 482 654 723 872 964 1308 1446 1928 2616 2892 5784 26269 52538 78807 105076 157614 210152 315228 630456