| Base | Representation |
|---|---|
| bin | 10011111100100… |
| … | …001100000000000 |
| 3 | 212022200010010100 |
| 4 | 103330201200000 |
| 5 | 1141131223320 |
| 6 | 53112202400 |
| 7 | 11202222204 |
| oct | 2374414000 |
| 9 | 768603110 |
| 10 | 334632960 |
| 11 | 161989772 |
| 12 | 94099400 |
| 13 | 5443578c |
| 14 | 3262ab04 |
| 15 | 1e5a0790 |
| hex | 13f21800 |
334632960 has 144 divisors (see below), whose sum is σ = 1160097120. Its totient is φ = 89210880.
The previous prime is 334632953. The next prime is 334632967. The reversal of 334632960 is 69236433.
It is an interprime number because it is at equal distance from previous prime (334632953) and next prime (334632967).
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×3346329602 = 223958435836723200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (334632967) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90345 + ... + 93975.
It is an arithmetic number, because the mean of its divisors is an integer number (8056230).
Almost surely, 2334632960 is an apocalyptic number.
334632960 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 334632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580048560).
334632960 is an abundant number, since it is smaller than the sum of its proper divisors (825464160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334632960 is a wasteful number, since it uses less digits than its factorization.
334632960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3664 (or 3641 counting only the distinct ones).
The product of its (nonzero) digits is 69984, while the sum is 36.
The square root of 334632960 is about 18292.9757010717. The cubic root of 334632960 is about 694.2612165749.
The spelling of 334632960 in words is "three hundred thirty-four million, six hundred thirty-two thousand, nine hundred sixty".
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