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34000896 = 21232767
BaseRepresentation
bin1000000110110…
…1000000000000
32100222102110110
42001231000000
532201012041
63212431320
7562000656
oct201550000
970872413
1034000896
1118213416
12b478540
137076097
144730dd6
152eb9516
hex206d000

34000896 has 52 divisors (see below), whose sum is σ = 90690752. Its totient is φ = 11329536.

The previous prime is 34000853. The next prime is 34000907. The reversal of 34000896 is 69800043.

It is a congruent number.

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, 10905 + ... + 13671.

Almost surely, 234000896 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 34000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45345376).

34000896 is an abundant number, since it is smaller than the sum of its proper divisors (56689856).

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

34000896 is an equidigital number, since it uses as much as digits as its factorization.

34000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2794 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34000896 is about 5831.0287257053. The cubic root of 34000896 is about 323.9640258794.

The spelling of 34000896 in words is "thirty-four million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2767 3072 4096 5534 6144 8301 11068 12288 16602 22136 33204 44272 66408 88544 132816 177088 265632 354176 531264 708352 1062528 1416704 2125056 2833408 4250112 5666816 8500224 11333632 17000448 34000896