| Base | Representation |
|---|---|
| bin | 1000001100101… |
| … | …0000000110000 |
| 3 | 2101200210001200 |
| 4 | 2003022000300 |
| 5 | 32300204442 |
| 6 | 3224531200 |
| 7 | 565145460 |
| oct | 203120060 |
| 9 | 71623050 |
| 10 | 34381872 |
| 11 | 18453678 |
| 12 | b620b00 |
| 13 | 717a605 |
| 14 | 47cdba0 |
| 15 | 304234c |
| hex | 20ca030 |
34381872 has 120 divisors (see below), whose sum is σ = 114825984. Its totient is φ = 9389952.
The previous prime is 34381859. The next prime is 34381873. The reversal of 34381872 is 27818343.
It is a super-2 number, since 2×343818722 = 2364226244448768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is an alternating number because its digits alternate between odd and even.
It is not an unprimeable number, because it can be changed into a prime (34381873) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22443 + ... + 23925.
Almost surely, 234381872 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 34381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57412992).
34381872 is an abundant number, since it is smaller than the sum of its proper divisors (80444112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34381872 is a wasteful number, since it uses less digits than its factorization.
34381872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1527 (or 1518 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 34381872 is about 5863.6057166218. The cubic root of 34381872 is about 325.1695273344.
Subtracting from 34381872 its product of digits (32256), we obtain a triangular number (34349616 = T8288).
It can be divided in two parts, 34381 and 872, that added together give a palindrome (35253).
The spelling of 34381872 in words is "thirty-four million, three hundred eighty-one thousand, eight hundred seventy-two".
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