Base | Representation |
---|---|
bin | 1000001010111… |
… | …0100100000000 |
3 | 2101111001211112 |
4 | 2002232210000 |
5 | 32233110230 |
6 | 3222302452 |
7 | 564166622 |
oct | 202564400 |
9 | 71431745 |
10 | 34269440 |
11 | 18387157 |
12 | b587a28 |
13 | 713b39a |
14 | 47a0c12 |
15 | 301dd95 |
hex | 20ae900 |
34269440 has 72 divisors (see below), whose sum is σ = 84216888. Its totient is φ = 13352960.
The previous prime is 34269427. The next prime is 34269449. The reversal of 34269440 is 4496243.
It can be written as a sum of positive squares in 4 ways, for example, as 350464 + 33918976 = 592^2 + 5824^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 34269397 and 34269406.
It is not an unprimeable number, because it can be changed into a prime (34269449) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52154 + ... + 52806.
It is an arithmetic number, because the mean of its divisors is an integer number (1169679).
Almost surely, 234269440 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 34269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42108444).
34269440 is an abundant number, since it is smaller than the sum of its proper divisors (49947448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34269440 is an equidigital number, since it uses as much as digits as its factorization.
34269440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 715 (or 701 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 32.
The square root of 34269440 is about 5854.0105910393. The cubic root of 34269440 is about 324.8146951540.
The spelling of 34269440 in words is "thirty-four million, two hundred sixty-nine thousand, four hundred forty".
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