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34354140 = 22351015669
BaseRepresentation
bin1000001100001…
…1001111011100
32101122101000120
42003003033130
532243313030
63224154540
7565001562
oct203031734
971571016
1034354140
1118434857
12b608a50
13716aac2
1447c3a32
153039010
hex20c33dc

34354140 has 48 divisors (see below), whose sum is σ = 97161120. Its totient is φ = 9068800.

The previous prime is 34354139. The next prime is 34354171. The reversal of 34354140 is 4145343.

It is a self number, because there is not a number n which added to its sum of digits gives 34354140.

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, 3226 + ... + 8894.

It is an arithmetic number, because the mean of its divisors is an integer number (2024190).

Almost surely, 234354140 is an apocalyptic number.

34354140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48580560).

34354140 is an abundant number, since it is smaller than the sum of its proper divisors (62806980).

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

34354140 is a wasteful number, since it uses less digits than its factorization.

34354140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5782 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34354140 is about 5861.2404830377. The cubic root of 34354140 is about 325.0820778890.

Adding to 34354140 its reverse (4145343), we get a palindrome (38499483).

The spelling of 34354140 in words is "thirty-four million, three hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 5669 6060 11338 17007 22676 28345 34014 56690 68028 85035 113380 170070 340140 572569 1145138 1717707 2290276 2862845 3435414 5725690 6870828 8588535 11451380 17177070 34354140