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34342912 = 21141409
BaseRepresentation
bin1000001100000…
…0100000000000
32101121210121201
42003000200000
532242433122
63224030544
7564624052
oct203004000
971553551
1034342912
111842737a
12b602454
137165966
1447bd8d2
153035a27
hex20c0800

34342912 has 48 divisors (see below), whose sum is σ = 70515900. Its totient is φ = 16711680.

The previous prime is 34342883. The next prime is 34342921. The reversal of 34342912 is 21924343.

It can be written as a sum of positive squares in 2 ways, for example, as 34292736 + 50176 = 5856^2 + 224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83764 + ... + 84172.

Almost surely, 234342912 is an apocalyptic number.

34342912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35257950).

34342912 is an abundant number, since it is smaller than the sum of its proper divisors (36172988).

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

34342912 is an equidigital number, since it uses as much as digits as its factorization.

34342912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 452 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 34342912 is about 5860.2825870431. The cubic root of 34342912 is about 325.0466583900.

The spelling of 34342912 in words is "thirty-four million, three hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 409 512 656 818 1024 1312 1636 2048 2624 3272 5248 6544 10496 13088 16769 20992 26176 33538 41984 52352 67076 83968 104704 134152 209408 268304 418816 536608 837632 1073216 2146432 4292864 8585728 17171456 34342912