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34142292 = 22321396823
BaseRepresentation
bin1000001000111…
…1100001010100
32101020121102100
42002033201110
532220023132
63215442100
7563130132
oct202174124
971217370
1034142292
11182aa678
12b526330
1370c5552
14476a752
152ee637c
hex208f854

34142292 has 36 divisors (see below), whose sum is σ = 86937760. Its totient is φ = 11297232.

The previous prime is 34142291. The next prime is 34142333. The reversal of 34142292 is 29224143.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×341422922 = 2331392206026528, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1593 + ... + 8415.

Almost surely, 234142292 is an apocalyptic number.

It is an amenable number.

34142292 is an abundant number, since it is smaller than the sum of its proper divisors (52795468).

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

34142292 is a wasteful number, since it uses less digits than its factorization.

34142292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6967 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34142292 is about 5843.1405938930. The cubic root of 34142292 is about 324.4124833337.

The spelling of 34142292 in words is "thirty-four million, one hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 139 278 417 556 834 1251 1668 2502 5004 6823 13646 20469 27292 40938 61407 81876 122814 245628 948397 1896794 2845191 3793588 5690382 8535573 11380764 17071146 34142292