| Base | Representation |
|---|---|
| bin | 10011110110010… |
| … | …010001000000000 |
| 3 | 212012121000011200 |
| 4 | 103312102020000 |
| 5 | 1140221401440 |
| 6 | 53013141200 |
| 7 | 11152300041 |
| oct | 2366221000 |
| 9 | 765530150 |
| 10 | 332997120 |
| 11 | 160a71735 |
| 12 | 9362a800 |
| 13 | 53cb2021 |
| 14 | 323228c8 |
| 15 | 1e37ac30 |
| hex | 13d92200 |
332997120 has 240 divisors, whose sum is σ = 1172971800. Its totient is φ = 87293952.
The previous prime is 332997113. The next prime is 332997127. The reversal of 332997120 is 21799233.
It is an interprime number because it is at equal distance from previous prime (332997113) and next prime (332997127).
It can be written as a sum of positive squares in 4 ways, for example, as 192432384 + 140564736 = 13872^2 + 11856^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×3329971202 = 221774163856588800, 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 (332997127) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234806 + ... + 2234954.
Almost surely, 2332997120 is an apocalyptic number.
332997120 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 332997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586485900).
332997120 is an abundant number, since it is smaller than the sum of its proper divisors (839974680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332997120 is a wasteful number, since it uses less digits than its factorization.
332997120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 275 (or 256 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 36.
The square root of 332997120 is about 18248.2086792101. The cubic root of 332997120 is about 693.1280786243.
The spelling of 332997120 in words is "three hundred thirty-two million, nine hundred ninety-seven thousand, one hundred twenty".
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