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630353628 = 2232293119477
BaseRepresentation
bin100101100100100…
…110111011011100
31121221010021121200
4211210212323130
52242332304003
6142314355500
721422626452
oct4544467334
91557107550
10630353628
112a3900013
1215712bb90
13a0795818
145da089d2
153a5166a3
hex25926edc

630353628 has 72 divisors (see below), whose sum is σ = 1701598080. Its totient is φ = 196318080.

The previous prime is 630353623. The next prime is 630353651. The reversal of 630353628 is 826353036.

It is a happy number.

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 = 630353592 and 630353601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630353623) 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, 22626 + ... + 42102.

Almost surely, 2630353628 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 630353628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850799040).

630353628 is an abundant number, since it is smaller than the sum of its proper divisors (1071244452).

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

630353628 is a wasteful number, since it uses less digits than its factorization.

630353628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19547 (or 19542 counting only the distinct ones).

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

The square root of 630353628 is about 25106.8442461413. The cubic root of 630353628 is about 857.4222560110.

The spelling of 630353628 in words is "six hundred thirty million, three hundred fifty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 19477 32364 38954 58431 77908 116862 175293 233724 350586 564833 603787 701172 1129666 1207574 1694499 1811361 2259332 2415148 3388998 3622722 5083497 5434083 6777996 7245444 10166994 10868166 17509823 20333988 21736332 35019646 52529469 70039292 105058938 157588407 210117876 315176814 630353628