Base | Representation |
---|---|
bin | 10011111011101… |
… | …110000110100000 |
3 | 212022021102100000 |
4 | 103323232012200 |
5 | 1141103004212 |
6 | 53103500000 |
7 | 11200354341 |
oct | 2373560640 |
9 | 768242300 |
10 | 334422432 |
11 | 161855583 |
12 | 93bb7600 |
13 | 543909c6 |
14 | 325b40c8 |
15 | 1e55d1dc |
hex | 13eee1a0 |
334422432 has 144 divisors (see below), whose sum is σ = 1020932640. Its totient is φ = 107557632.
The previous prime is 334422427. The next prime is 334422457. The reversal of 334422432 is 234224433.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3344224322 = 223676726049589248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 334422396 and 334422405.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224763 + ... + 226245.
It is an arithmetic number, because the mean of its divisors is an integer number (7089810).
Almost surely, 2334422432 is an apocalyptic number.
334422432 is a gapful number since it is divisible by the number (32) 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 334422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510466320).
334422432 is an abundant number, since it is smaller than the sum of its proper divisors (686510208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334422432 is a wasteful number, since it uses less digits than its factorization.
334422432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1537 (or 1517 counting only the distinct ones).
The product of its digits is 13824, while the sum is 27.
The square root of 334422432 is about 18287.2204558265. The cubic root of 334422432 is about 694.1155922589.
Adding to 334422432 its reverse (234224433), we get a palindrome (568646865).
The spelling of 334422432 in words is "three hundred thirty-four million, four hundred twenty-two thousand, four hundred thirty-two".
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