Search a number
-
+
630259344 = 24321113127241
BaseRepresentation
bin100101100100001…
…111111010010000
31121220221111021200
4211210033322100
52242321244334
6142312351200
721422054541
oct4544177220
91556844250
10630259344
112a38461a0
121570a5500
13a0761930
145d9c24c8
153a4e8799
hex2590fe90

630259344 has 240 divisors, whose sum is σ = 2097199104. Its totient is φ = 174182400.

The previous prime is 630259307. The next prime is 630259351. The reversal of 630259344 is 443952036.

630259344 is a `hidden beast` number, since 6 + 302 + 5 + 9 + 344 = 666.

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 = 630259299 and 630259308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2615064 + ... + 2615304.

Almost surely, 2630259344 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 630259344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048599552).

630259344 is an abundant number, since it is smaller than the sum of its proper divisors (1466939760).

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

630259344 is a wasteful number, since it uses less digits than its factorization.

630259344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 630259344 is about 25104.9665205911. The cubic root of 630259344 is about 857.3795047535.

The spelling of 630259344 in words is "six hundred thirty million, two hundred fifty-nine thousand, three hundred forty-four".