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34012692 = 22327711901
BaseRepresentation
bin1000000110111…
…1111000010100
32101000000122100
42001233320110
532201401232
63213002100
7562050240
oct201577024
971000570
1034012692
111822126a
12b483330
13707b56c
144735420
152ebcc7c
hex206fe14

34012692 has 72 divisors (see below), whose sum is σ = 99695232. Its totient is φ = 9576000.

The previous prime is 34012669. The next prime is 34012711. The reversal of 34012692 is 29621043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16942 + ... + 18842.

It is an arithmetic number, because the mean of its divisors is an integer number (1384656).

Almost surely, 234012692 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 34012692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49847616).

34012692 is an abundant number, since it is smaller than the sum of its proper divisors (65682540).

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

34012692 is a wasteful number, since it uses less digits than its factorization.

34012692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34012692 is about 5832.0401233188. The cubic root of 34012692 is about 324.0014860471.

The spelling of 34012692 in words is "thirty-four million, twelve thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1901 1988 2556 2982 3802 4473 5703 5964 7604 8946 11406 13307 17109 17892 22812 26614 34218 39921 53228 68436 79842 119763 134971 159684 239526 269942 404913 479052 539884 809826 944797 1214739 1619652 1889594 2429478 2834391 3779188 4858956 5668782 8503173 11337564 17006346 34012692