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34642465 = 5111323727
BaseRepresentation
bin1000010000100…
…1101000100001
32102012000112021
42010021220201
532332024330
63234301441
7600312304
oct204115041
972160467
1034642465
1118611440
12b727881
13723c100
14485ab3b
15309467a
hex2109a21

34642465 has 24 divisors (see below), whose sum is σ = 49120128. Its totient is φ = 23250240.

The previous prime is 34642463. The next prime is 34642493. The reversal of 34642465 is 56424643.

It is not a de Polignac number, because 34642465 - 21 = 34642463 is a prime.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34642465.

It is not an unprimeable number, because it can be changed into a prime (34642463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7432 + ... + 11158.

It is an arithmetic number, because the mean of its divisors is an integer number (2046672).

Almost surely, 234642465 is an apocalyptic number.

It is an amenable number.

34642465 is a deficient number, since it is larger than the sum of its proper divisors (14477663).

34642465 is a wasteful number, since it uses less digits than its factorization.

34642465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3756 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The square root of 34642465 is about 5885.7849943742. The cubic root of 34642465 is about 325.9889874208.

It can be divided in two parts, 3464 and 2465, that added together give a square (5929 = 772).

The spelling of 34642465 in words is "thirty-four million, six hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 5 11 13 55 65 143 169 715 845 1859 3727 9295 18635 40997 48451 204985 242255 532961 629863 2664805 3149315 6928493 34642465