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64312326 = 23313172317
BaseRepresentation
bin1111010101010…
…1010000000110
311111000101221000
43311111100012
5112430443301
610214234130
71410434331
oct365252006
9144011830
1064312326
1133336891
1219655946
1310429a40
148781618
1559a5786
hex3d55406

64312326 has 96 divisors (see below), whose sum is σ = 164011680. Its totient is φ = 18565632.

The previous prime is 64312291. The next prime is 64312357. The reversal of 64312326 is 62321346.

64312326 is a `hidden beast` number, since 643 + 12 + 3 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 64312326.

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, 202720 + ... + 203036.

It is an arithmetic number, because the mean of its divisors is an integer number (1708455).

Almost surely, 264312326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64312326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82005840).

64312326 is an abundant number, since it is smaller than the sum of its proper divisors (99699354).

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

64312326 is a wasteful number, since it uses less digits than its factorization.

64312326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 64312326 is about 8019.4966176188. The cubic root of 64312326 is about 400.6496235686.

The spelling of 64312326 in words is "sixty-four million, three hundred twelve thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 289 306 317 351 442 459 578 634 663 702 867 918 951 1326 1734 1902 1989 2601 2853 3757 3978 4121 5202 5389 5706 5967 7514 7803 8242 8559 10778 11271 11934 12363 15606 16167 17118 22542 24726 32334 33813 37089 48501 67626 70057 74178 91613 97002 101439 111267 140114 145503 183226 202878 210171 222534 274839 291006 420342 549678 630513 824517 1190969 1261026 1649034 1891539 2381938 2473551 3572907 3783078 4947102 7145814 10718721 21437442 32156163 64312326