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34284744 = 23321336629
BaseRepresentation
bin1000001011001…
…0010011001000
32101111211211100
42002302103020
532234102434
63222501400
7564262344
oct202622310
971454740
1034284744
11183976aa
12b594860
137145340
1447a6624
153023699
hex20b24c8

34284744 has 48 divisors (see below), whose sum is σ = 99999900. Its totient is φ = 10548864.

The previous prime is 34284739. The next prime is 34284779. The reversal of 34284744 is 44748243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 202500 = 5838^2 + 450^2 .

It is a super-2 number, since 2×342847442 = 2350887342291072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34284699 and 34284708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17379 + ... + 19250.

Almost surely, 234284744 is an apocalyptic number.

It is an amenable number.

34284744 is an abundant number, since it is smaller than the sum of its proper divisors (65715156).

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

34284744 is a wasteful number, since it uses less digits than its factorization.

34284744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36654 (or 36647 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 34284744 is about 5855.3175831888. The cubic root of 34284744 is about 324.8630397267.

The spelling of 34284744 in words is "thirty-four million, two hundred eighty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 36629 73258 109887 146516 219774 293032 329661 439548 476177 659322 879096 952354 1318644 1428531 1904708 2637288 2857062 3809416 4285593 5714124 8571186 11428248 17142372 34284744