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34256264 = 2371075717
BaseRepresentation
bin1000001010101…
…1010110001000
32101110101202112
42002223112020
532232200024
63222121452
7564113330
oct202532610
971411675
1034256264
1118378269
12b580288
1371353a3
14479a0c0
15301a00e
hex20ab588

34256264 has 32 divisors (see below), whose sum is σ = 74105280. Its totient is φ = 14541504.

The previous prime is 34256239. The next prime is 34256267. The reversal of 34256264 is 46265243.

It is a self number, because there is not a number n which added to its sum of digits gives 34256264.

It is not an unprimeable number, because it can be changed into a prime (34256267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3134 + ... + 8850.

It is an arithmetic number, because the mean of its divisors is an integer number (2315790).

Almost surely, 234256264 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 34256264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37052640).

34256264 is an abundant number, since it is smaller than the sum of its proper divisors (39849016).

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

34256264 is a wasteful number, since it uses less digits than its factorization.

34256264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5833 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 34256264 is about 5852.8851005295. The cubic root of 34256264 is about 324.7730612956.

The spelling of 34256264 in words is "thirty-four million, two hundred fifty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 5717 5992 11434 22868 40019 45736 80038 160076 320152 611719 1223438 2446876 4282033 4893752 8564066 17128132 34256264