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34121310 = 2352834019
BaseRepresentation
bin1000001000101…
…0011001011110
32101012112122020
42002022121132
532213340220
63215201010
7563012016
oct202123136
971175566
1034121310
1118295933
12b516166
1370b8b32
144762c46
152ee0040
hex208a65e

34121310 has 32 divisors (see below), whose sum is σ = 82200960. Its totient is φ = 9064608.

The previous prime is 34121267. The next prime is 34121323. The reversal of 34121310 is 1312143.

It is a super-2 number, since 2×341213102 = 2328527592232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34121310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6481 + ... + 10499.

It is an arithmetic number, because the mean of its divisors is an integer number (2568780).

Almost surely, 234121310 is an apocalyptic number.

34121310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34121310 is an abundant number, since it is smaller than the sum of its proper divisors (48079650).

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

34121310 is a wasteful number, since it uses less digits than its factorization.

34121310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 34121310 is about 5841.3448793921. The cubic root of 34121310 is about 324.3460142795.

Adding to 34121310 its reverse (1312143), we get a palindrome (35433453).

The spelling of 34121310 in words is "thirty-four million, one hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 283 566 849 1415 1698 2830 4019 4245 8038 8490 12057 20095 24114 40190 60285 120570 1137377 2274754 3412131 5686885 6824262 11373770 17060655 34121310