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34339984 = 247243801
BaseRepresentation
bin1000001011111…
…1110010010000
32101121122121021
42002333302100
532242334414
63224005224
7564612400
oct202776220
971548537
1034339984
1118425158
12b600814
137164523
1447bc800
153034c24
hex20bfc90

34339984 has 30 divisors (see below), whose sum is σ = 77398134. Its totient is φ = 14716800.

The previous prime is 34339961. The next prime is 34339997. The reversal of 34339984 is 48993343.

It can be written as a sum of positive squares in only one way, i.e., 29811600 + 4528384 = 5460^2 + 2128^2 .

It is a super-2 number, since 2×343399842 = 2358469002240512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34339984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21117 + ... + 22684.

Almost surely, 234339984 is an apocalyptic number.

It is an amenable number.

34339984 is an abundant number, since it is smaller than the sum of its proper divisors (43058150).

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

34339984 is a wasteful number, since it uses less digits than its factorization.

34339984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43823 (or 43810 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The square root of 34339984 is about 5860.0327644135. The cubic root of 34339984 is about 325.0374205433.

The spelling of 34339984 in words is "thirty-four million, three hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 43801 87602 175204 306607 350408 613214 700816 1226428 2146249 2452856 4292498 4905712 8584996 17169992 34339984