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65344131 = 3314931621
BaseRepresentation
bin1111100101000…
…1001010000011
311112221211022000
43321101022003
5113212003011
610252315043
71422262446
oct371211203
9145854260
1065344131
1133981016
1219a72a83
13106cb588
14896d65d
155b0b356
hex3e51283

65344131 has 16 divisors (see below), whose sum is σ = 96930720. Its totient is φ = 43506720.

The previous prime is 65344117. The next prime is 65344159. The reversal of 65344131 is 13144356.

65344131 is a `hidden beast` number, since 653 + 4 + 4 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 65344131 - 225 = 31789699 is a prime.

It is a super-2 number, since 2×653441312 = 8539710912290322, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 65344095 and 65344104.

It is not an unprimeable number, because it can be changed into a prime (65344031) 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, 39501 + ... + 41121.

It is an arithmetic number, because the mean of its divisors is an integer number (6058170).

Almost surely, 265344131 is an apocalyptic number.

65344131 is a deficient number, since it is larger than the sum of its proper divisors (31586589).

65344131 is a wasteful number, since it uses less digits than its factorization.

65344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3117 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 65344131 is about 8083.5716734622. The cubic root of 65344131 is about 402.7808946751.

Adding to 65344131 its reverse (13144356), we get a palindrome (78488487).

The spelling of 65344131 in words is "sixty-five million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 1493 1621 4479 4863 13437 14589 40311 43767 2420153 7260459 21781377 65344131