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34133742 = 2325932141
BaseRepresentation
bin1000001000110…
…1011011101110
32101020011200200
42002031123232
532214234432
63215334330
7563063166
oct202153356
971204620
1034133742
11182a4205
12b5213a6
1370c16a6
1447675a6
152ee3a7c
hex208d6ee

34133742 has 24 divisors (see below), whose sum is σ = 75212280. Its totient is φ = 11184720.

The previous prime is 34133731. The next prime is 34133761. The reversal of 34133742 is 24733143.

34133742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×341337422 = 2330224685845128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15009 + ... + 17132.

It is an arithmetic number, because the mean of its divisors is an integer number (3133845).

Almost surely, 234133742 is an apocalyptic number.

34133742 is an abundant number, since it is smaller than the sum of its proper divisors (41078538).

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

34133742 is a wasteful number, since it uses less digits than its factorization.

34133742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32208 (or 32205 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 34133742 is about 5842.4089209846. The cubic root of 34133742 is about 324.3854010052.

Adding to 34133742 its reverse (24733143), we get a palindrome (58866885).

The spelling of 34133742 in words is "thirty-four million, one hundred thirty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 59 118 177 354 531 1062 32141 64282 96423 192846 289269 578538 1896319 3792638 5688957 11377914 17066871 34133742