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34342984 = 2313714651
BaseRepresentation
bin1000001100000…
…0100001001000
32101121210201101
42003000201020
532242433414
63224031144
7564624214
oct203004110
971553641
1034342984
1118427435
12b6024b4
1371659c0
1447bd944
153035a74
hex20c0848

34342984 has 32 divisors (see below), whose sum is σ = 70338240. Its totient is φ = 15624000.

The previous prime is 34342951. The next prime is 34342991. The reversal of 34342984 is 48924343.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5059 + ... + 9709.

It is an arithmetic number, because the mean of its divisors is an integer number (2198070).

Almost surely, 234342984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34342984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35169120).

34342984 is an abundant number, since it is smaller than the sum of its proper divisors (35995256).

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

34342984 is a wasteful number, since it uses less digits than its factorization.

34342984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741 (or 4737 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 34342984 is about 5860.2887300883. The cubic root of 34342984 is about 325.0468855435.

The spelling of 34342984 in words is "thirty-four million, three hundred forty-two thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 4651 7384 9302 18604 37208 60463 120926 241852 330221 483704 660442 1320884 2641768 4292873 8585746 17171492 34342984