| Base | Representation |
|---|---|
| bin | 10011111010100… |
| … | …110111110110000 |
| 3 | 212021201121201200 |
| 4 | 103322212332300 |
| 5 | 1141014143440 |
| 6 | 53053331200 |
| 7 | 11165032131 |
| oct | 2372467660 |
| 9 | 767647650 |
| 10 | 334131120 |
| 11 | 161676724 |
| 12 | 93a96b00 |
| 13 | 542bb22b |
| 14 | 32539c88 |
| 15 | 1e501c30 |
| hex | 13ea6fb0 |
334131120 has 120 divisors (see below), whose sum is σ = 1170969696. Its totient is φ = 85223424.
The previous prime is 334131103. The next prime is 334131151. The reversal of 334131120 is 21131433.
334131120 is a `hidden beast` number, since 334 + 1 + 311 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×3341311202 = 223287210704908800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 334131093 and 334131102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6472 + ... + 26648.
Almost surely, 2334131120 is an apocalyptic number.
334131120 is a gapful number since it is divisible by the number (30) 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 334131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585484848).
334131120 is an abundant number, since it is smaller than the sum of its proper divisors (836838576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334131120 is a wasteful number, since it uses less digits than its factorization.
334131120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20219 (or 20210 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 334131120 is about 18279.2538140921. The cubic root of 334131120 is about 693.9139880171.
Adding to 334131120 its reverse (21131433), we get a palindrome (355262553).
The spelling of 334131120 in words is "three hundred thirty-four million, one hundred thirty-one thousand, one hundred twenty".
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