Base | Representation |
---|---|
bin | 1000010010000… |
… | …1000001011000 |
3 | 2102100212221101 |
4 | 2010201001120 |
5 | 32343111024 |
6 | 3240321144 |
7 | 601161511 |
oct | 204410130 |
9 | 72325841 |
10 | 34738264 |
11 | 18677410 |
12 | b7731b4 |
13 | 72738b2 |
14 | 4883a08 |
15 | 30b2c44 |
hex | 2121058 |
34738264 has 64 divisors (see below), whose sum is σ = 74856960. Its totient is φ = 14970240.
The previous prime is 34738261. The next prime is 34738283. The reversal of 34738264 is 46283743.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (37).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34738261) 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 15 ways as a sum of consecutive naturals, for example, 152919 + ... + 153145.
It is an arithmetic number, because the mean of its divisors is an integer number (1169640).
Almost surely, 234738264 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 34738264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37428480).
34738264 is an abundant number, since it is smaller than the sum of its proper divisors (40118696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34738264 is a wasteful number, since it uses less digits than its factorization.
34738264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 328 (or 324 counting only the distinct ones).
The product of its digits is 96768, while the sum is 37.
The square root of 34738264 is about 5893.9175426875. The cubic root of 34738264 is about 326.2892035116.
The spelling of 34738264 in words is "thirty-four million, seven hundred thirty-eight thousand, two hundred sixty-four".
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