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65344664 = 23711374761
BaseRepresentation
bin1111100101000…
…1010010011000
311112221212000202
43321101102120
5113212012124
610252321332
71422264140
oct371212230
9145855022
1065344664
1133981460
1219a73248
13106cb8a8
14896d920
155b0b5ae
hex3e51498

65344664 has 128 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 23846400.

The previous prime is 65344639. The next prime is 65344681. The reversal of 65344664 is 46644356.

It is a happy number.

It is a super-2 number, since 2×653446642 = 8539850226545792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071194 + ... + 1071254.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 265344664 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 65344664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

65344664 is an abundant number, since it is smaller than the sum of its proper divisors (97502056).

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

65344664 is a wasteful number, since it uses less digits than its factorization.

65344664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its digits is 207360, while the sum is 38.

The square root of 65344664 is about 8083.6046414950. The cubic root of 65344664 is about 402.7819898086.

The spelling of 65344664 in words is "sixty-five million, three hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 47 56 61 74 77 88 94 122 148 154 188 244 259 296 308 329 376 407 427 488 517 518 616 658 671 814 854 1034 1036 1316 1342 1628 1708 1739 2068 2072 2257 2632 2684 2849 2867 3256 3416 3478 3619 4136 4514 4697 5368 5698 5734 6956 7238 9028 9394 11396 11468 12173 13912 14476 15799 18056 18788 19129 20069 22792 22936 24346 24827 28952 31537 31598 37576 38258 40138 48692 49654 63074 63196 76516 80276 97384 99308 106079 126148 126392 133903 153032 160552 173789 198616 212158 220759 252296 267806 347578 424316 441518 535612 695156 742553 848632 883036 1071224 1166869 1390312 1485106 1766072 2333738 2970212 4667476 5940424 8168083 9334952 16336166 32672332 65344664