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34354364 = 22112383409
BaseRepresentation
bin1000001100001…
…1010010111100
32101122101022212
42003003102330
532243314424
63224155552
7565002332
oct203032274
971571285
1034354364
1118434a40
12b608bb8
13716ac35
1447c3b52
15303910e
hex20c34bc

34354364 has 48 divisors (see below), whose sum is σ = 69431040. Its totient is φ = 14720640.

The previous prime is 34354363. The next prime is 34354367. The reversal of 34354364 is 46345343.

It is a self number, because there is not a number n which added to its sum of digits gives 34354364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34354361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83792 + ... + 84200.

It is an arithmetic number, because the mean of its divisors is an integer number (1446480).

Almost surely, 234354364 is an apocalyptic number.

It is an amenable number.

34354364 is an abundant number, since it is smaller than the sum of its proper divisors (35076676).

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

34354364 is a wasteful number, since it uses less digits than its factorization.

34354364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its digits is 51840, while the sum is 32.

The square root of 34354364 is about 5861.2595915895. The cubic root of 34354364 is about 325.0827844339.

The spelling of 34354364 in words is "thirty-four million, three hundred fifty-four thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 23 44 46 83 92 166 253 332 409 506 818 913 1012 1636 1826 1909 3652 3818 4499 7636 8998 9407 17996 18814 20999 33947 37628 41998 67894 83996 103477 135788 206954 373417 413908 746834 780781 1493668 1561562 3123124 8588591 17177182 34354364