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34086144 = 28344383
BaseRepresentation
bin1000001000000…
…1110100000000
32101010202101210
42002001310000
532211224034
63214330120
7562504341
oct202016400
971122353
1034086144
1118271474
12b4b9940
1370a5b21
1447540c8
152ed48e9
hex2081d00

34086144 has 36 divisors (see below), whose sum is σ = 90720896. Its totient is φ = 11361792.

The previous prime is 34086137. The next prime is 34086149. The reversal of 34086144 is 44168043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34086149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21424 + ... + 22959.

Almost surely, 234086144 is an apocalyptic number.

It is an amenable number.

34086144 is an abundant number, since it is smaller than the sum of its proper divisors (56634752).

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

34086144 is an equidigital number, since it uses as much as digits as its factorization.

34086144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44402 (or 44388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34086144 is about 5838.3340089447. The cubic root of 34086144 is about 324.2345504800.

The spelling of 34086144 in words is "thirty-four million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 44383 88766 133149 177532 266298 355064 532596 710128 1065192 1420256 2130384 2840512 4260768 5681024 8521536 11362048 17043072 34086144