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65345568 = 2535983139
BaseRepresentation
bin1111100101000…
…1100000100000
311112221220021020
43321101200200
5113212024233
610252325440
71422266601
oct371214040
9145856236
1065345568
1133982102
1219a73880
13106cc122
14896dda8
155b0b9b3
hex3e51820

65345568 has 96 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 21002496.

The previous prime is 65345563. The next prime is 65345573. The reversal of 65345568 is 86554356.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65345563) and next prime (65345573).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65345563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470043 + ... + 470181.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 265345568 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 65345568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

65345568 is an abundant number, since it is smaller than the sum of its proper divisors (112465632).

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

65345568 is a wasteful number, since it uses less digits than its factorization.

65345568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 65345568 is about 8083.6605569507. The cubic root of 65345568 is about 402.7838472071.

The spelling of 65345568 in words is "sixty-five million, three hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 83 96 118 139 166 177 236 249 278 332 354 417 472 498 556 664 708 834 944 996 1112 1328 1416 1668 1888 1992 2224 2656 2832 3336 3984 4448 4897 5664 6672 7968 8201 9794 11537 13344 14691 16402 19588 23074 24603 29382 32804 34611 39176 46148 49206 58764 65608 69222 78352 92296 98412 117528 131216 138444 156704 184592 196824 235056 262432 276888 369184 393648 470112 553776 680683 787296 1107552 1361366 2042049 2722732 4084098 5445464 8168196 10890928 16336392 21781856 32672784 65345568