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34000256 = 272311549
BaseRepresentation
bin1000000110110…
…0110110000000
32100222101120202
42001230312000
532201002011
63212424332
7561666053
oct201546600
970871522
1034000256
1118212994
12b4780a8
1370759c4
144730a9a
152eb923b
hex206cd80

34000256 has 32 divisors (see below), whose sum is σ = 70686000. Its totient is φ = 16259584.

The previous prime is 34000247. The next prime is 34000259. The reversal of 34000256 is 65200043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000259) 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, 2831 + ... + 8718.

Almost surely, 234000256 is an apocalyptic number.

It is an amenable number.

34000256 is an abundant number, since it is smaller than the sum of its proper divisors (36685744).

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

34000256 is a wasteful number, since it uses less digits than its factorization.

34000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11586 (or 11574 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34000256 is about 5830.9738466229. The cubic root of 34000256 is about 323.9619932047.

Adding to 34000256 its reverse (65200043), we get a palindrome (99200299).

The spelling of 34000256 in words is "thirty-four million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1472 2944 11549 23098 46196 92392 184784 265627 369568 531254 739136 1062508 1478272 2125016 4250032 8500064 17000128 34000256