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34269680 = 2451273373
BaseRepresentation
bin1000001010111…
…0100111110000
32101111002011102
42002232213300
532233112210
63222303532
7564200414
oct202564760
971432142
1034269680
1118387355
12b587ba8
13713b523
1447a0d44
15301dea5
hex20ae9f0

34269680 has 40 divisors (see below), whose sum is σ = 80328192. Its totient is φ = 13595904.

The previous prime is 34269679. The next prime is 34269713. The reversal of 34269680 is 8696243.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8474 + ... + 11846.

Almost surely, 234269680 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 34269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40164096).

34269680 is an abundant number, since it is smaller than the sum of its proper divisors (46058512).

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

34269680 is a wasteful number, since it uses less digits than its factorization.

34269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 34269680 is about 5854.0310897705. The cubic root of 34269680 is about 324.8154534131.

The spelling of 34269680 in words is "thirty-four million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 3373 5080 6746 10160 13492 16865 26984 33730 53968 67460 134920 269840 428371 856742 1713484 2141855 3426968 4283710 6853936 8567420 17134840 34269680