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34874868 = 2237337229
BaseRepresentation
bin1000010100001…
…0010111110100
32102121211022210
42011002113310
532411443433
63243253420
7602301000
oct205022764
972554283
1034874868
1118760006
12b81a270
1372c0b22
1448bb700
1530dd463
hex21425f4

34874868 has 96 divisors (see below), whose sum is σ = 97888000. Its totient is φ = 9652608.

The previous prime is 34874867. The next prime is 34874891. The reversal of 34874868 is 86847843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34874863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152178 + ... + 152406.

Almost surely, 234874868 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 34874868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48944000).

34874868 is an abundant number, since it is smaller than the sum of its proper divisors (63013132).

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

34874868 is a wasteful number, since it uses less digits than its factorization.

34874868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 34874868 is about 5905.4947294871. The cubic root of 34874868 is about 326.7163416521.

The spelling of 34874868 in words is "thirty-four million, eight hundred seventy-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 229 259 294 343 444 458 518 588 686 687 777 916 1029 1036 1372 1374 1554 1603 1813 2058 2748 3108 3206 3626 4116 4809 5439 6412 7252 8473 9618 10878 11221 12691 16946 19236 21756 22442 25382 25419 33663 33892 38073 44884 50764 50838 59311 67326 76146 78547 101676 118622 134652 152292 157094 177933 235641 237244 314188 355866 415177 471282 711732 830354 942564 1245531 1660708 2491062 2906239 4982124 5812478 8718717 11624956 17437434 34874868