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34146944 = 271320521
BaseRepresentation
bin1000001001000…
…0101010000000
32101020211210122
42002100222000
532220200234
63215515412
7563146526
oct202205200
971224718
1034146944
1118303117
12b528b68
1370c76c0
14476c316
152ee792e
hex2090a80

34146944 has 32 divisors (see below), whose sum is σ = 73263540. Its totient is φ = 15759360.

The previous prime is 34146919. The next prime is 34146961. The reversal of 34146944 is 44964143.

It can be written as a sum of positive squares in 2 ways, for example, as 33640000 + 506944 = 5800^2 + 712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 8597 + ... + 11924.

Almost surely, 234146944 is an apocalyptic number.

It is an amenable number.

34146944 is an abundant number, since it is smaller than the sum of its proper divisors (39116596).

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

34146944 is a wasteful number, since it uses less digits than its factorization.

34146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20548 (or 20536 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 34146944 is about 5843.5386539322. The cubic root of 34146944 is about 324.4272167552.

The spelling of 34146944 in words is "thirty-four million, one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 20521 41042 82084 164168 266773 328336 533546 656672 1067092 1313344 2134184 2626688 4268368 8536736 17073472 34146944