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34238136 = 23317312707
BaseRepresentation
bin1000001010011…
…0111010111000
32101102110220010
42002212322320
532231110021
63221501520
7564006432
oct202467270
971373803
1034238136
1118365689
12b5718a0
13712a06a
144793652
153014976
hex20a6eb8

34238136 has 64 divisors (see below), whose sum is σ = 93588480. Its totient is φ = 10391040.

The previous prime is 34238111. The next prime is 34238161. The reversal of 34238136 is 63183243.

It is an interprime number because it is at equal distance from previous prime (34238111) and next prime (34238161).

It is a super-4 number, since 4×342381364 (a number of 31 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11295 + ... + 14001.

It is an arithmetic number, because the mean of its divisors is an integer number (1462320).

Almost surely, 234238136 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 34238136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46794240).

34238136 is an abundant number, since it is smaller than the sum of its proper divisors (59350344).

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

34238136 is a wasteful number, since it uses less digits than its factorization.

34238136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2760 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34238136 is about 5851.3362576424. The cubic root of 34238136 is about 324.7157625303.

The spelling of 34238136 in words is "thirty-four million, two hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1581 2108 2707 3162 4216 5414 6324 8121 10828 12648 16242 21656 32484 46019 64968 83917 92038 138057 167834 184076 251751 276114 335668 368152 503502 552228 671336 1007004 1104456 1426589 2014008 2853178 4279767 5706356 8559534 11412712 17119068 34238136