Base | Representation |
---|---|
bin | 1000110111100111… |
… | …0010000100000000 |
3 | 20010220202212002000 |
4 | 2031321302010000 |
5 | 14333432002340 |
6 | 1032123224000 |
7 | 112665624360 |
oct | 21571620400 |
9 | 6126685060 |
10 | 2380734720 |
11 | 1011954261 |
12 | 565378000 |
13 | 2bc301a90 |
14 | 1882869a0 |
15 | de01cd30 |
hex | 8de72100 |
2380734720 has 576 divisors, whose sum is σ = 10411645440. Its totient is φ = 501645312.
The previous prime is 2380734701. The next prime is 2380734721. The reversal of 2380734720 is 274370832.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2380734721) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144582 + ... + 3145338.
Almost surely, 22380734720 is an apocalyptic number.
2380734720 is a gapful number since it is divisible by the number (20) 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 2380734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205822720).
2380734720 is an abundant number, since it is smaller than the sum of its proper divisors (8030910720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2380734720 is a wasteful number, since it uses less digits than its factorization.
2380734720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 807 (or 787 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
The square root of 2380734720 is about 48792.7732353880. The cubic root of 2380734720 is about 1335.2738233926.
The spelling of 2380734720 in words is "two billion, three hundred eighty million, seven hundred thirty-four thousand, seven hundred twenty".
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