Base | Representation |
---|---|
bin | 10110100010110… |
… | …101111000000000 |
3 | 222100201012012110 |
4 | 112202311320000 |
5 | 1233311413240 |
6 | 101310455320 |
7 | 12241631064 |
oct | 2642657000 |
9 | 870635173 |
10 | 378232320 |
11 | 1845585a4 |
12 | a6804540 |
13 | 6048c70b |
14 | 38339aa4 |
15 | 23313c80 |
hex | 168b5e00 |
378232320 has 160 divisors (see below), whose sum is σ = 1280730528. Its totient is φ = 94896128.
The previous prime is 378232319. The next prime is 378232331. The reversal of 378232320 is 23232873.
378232320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129112 + ... + 132008.
Almost surely, 2378232320 is an apocalyptic number.
378232320 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 378232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640365264).
378232320 is an abundant number, since it is smaller than the sum of its proper divisors (902498208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
378232320 is a wasteful number, since it uses less digits than its factorization.
378232320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2940 (or 2924 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 30.
The square root of 378232320 is about 19448.1958032101. The cubic root of 378232320 is about 723.1907770249.
The spelling of 378232320 in words is "three hundred seventy-eight million, two hundred thirty-two thousand, three hundred twenty".
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