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644130396 = 2232713353557
BaseRepresentation
bin100110011001001…
…010011001011100
31122220001012210100
4212121022121130
52304344133041
6143525541100
721651006120
oct4631123134
91586035710
10644130396
1130065a778
1215b874790
13a35aa460
1461793580
153b8386b6
hex2664a65c

644130396 has 144 divisors (see below), whose sum is σ = 2013246144. Its totient is φ = 169095168.

The previous prime is 644130349. The next prime is 644130413. The reversal of 644130396 is 693031446.

644130396 is a `hidden beast` number, since 644 + 1 + 3 + 0 + 3 + 9 + 6 = 666.

It is a super-2 number, since 2×6441303962 = 829807934102233632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 644130396.

It is a congruent number.

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, 1156150 + ... + 1156706.

It is an arithmetic number, because the mean of its divisors is an integer number (13980876).

Almost surely, 2644130396 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 644130396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006623072).

644130396 is an abundant number, since it is smaller than the sum of its proper divisors (1369115748).

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

644130396 is a wasteful number, since it uses less digits than its factorization.

644130396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 644130396 is about 25379.7241119757. The cubic root of 644130396 is about 863.6237913308.

The spelling of 644130396 in words is "six hundred forty-four million, one hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 353 364 468 546 557 706 819 1059 1092 1114 1412 1638 1671 2118 2228 2471 3177 3276 3342 3899 4236 4589 4942 5013 6354 6684 7241 7413 7798 9178 9884 10026 11697 12708 13767 14482 14826 15596 18356 20052 21723 22239 23394 27534 28964 29652 32123 35091 41301 43446 44478 46788 50687 55068 64246 65169 70182 82602 86892 88956 96369 101374 128492 130338 140364 152061 165204 192738 196621 202748 260676 289107 304122 385476 393242 456183 578214 589863 608244 786484 912366 1156428 1179726 1376347 1769589 1824732 2359452 2556073 2752694 3539178 4129041 5112146 5505388 7078356 7668219 8258082 10224292 12387123 15336438 16516164 17892511 23004657 24774246 30672876 35785022 46009314 49548492 53677533 71570044 92018628 107355066 161032599 214710132 322065198 644130396