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630364644 = 2232713317607
BaseRepresentation
bin100101100100101…
…001100111100100
31121221010211201200
4211210221213210
52242333132034
6142314522500
721423003540
oct4544514744
91557124650
10630364644
112a3908318
12157136430
13a079a840
145da0ca20
153a519a99
hex259299e4

630364644 has 144 divisors (see below), whose sum is σ = 1970562048. Its totient is φ = 165452544.

The previous prime is 630364643. The next prime is 630364723. The reversal of 630364644 is 446463036.

630364644 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 6 + 4 + 644 = 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 = 630364599 and 630364608.

It is not an unprimeable number, because it can be changed into a prime (630364643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038189 + ... + 1038795.

Almost surely, 2630364644 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 630364644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985281024).

630364644 is an abundant number, since it is smaller than the sum of its proper divisors (1340197404).

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

630364644 is a wasteful number, since it uses less digits than its factorization.

630364644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 630364644 is about 25107.0636275929. The cubic root of 630364644 is about 857.4272507251.

The spelling of 630364644 in words is "six hundred thirty million, three hundred sixty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 317 364 468 546 607 634 819 951 1092 1214 1268 1638 1821 1902 2219 2428 2853 3276 3642 3804 4121 4249 4438 5463 5706 6657 7284 7891 8242 8498 8876 10926 11412 12363 12747 13314 15782 16484 16996 19971 21852 23673 24726 25494 26628 28847 31564 37089 38241 39942 47346 49452 50988 55237 57694 71019 74178 76482 79884 86541 94692 110474 115388 142038 148356 152964 165711 173082 192419 220948 259623 284076 331422 346164 384838 497133 519246 577257 662844 769676 994266 1038492 1154514 1346933 1731771 1988532 2309028 2501447 2693866 3463542 4040799 5002894 5387732 6927084 7504341 8081598 10005788 12122397 15008682 16163196 17510129 22513023 24244794 30017364 35020258 45026046 48489588 52530387 70040516 90052092 105060774 157591161 210121548 315182322 630364644