Base | Representation |
---|---|
bin | 10110100111000… |
… | …111000100000000 |
3 | 222102211001011000 |
4 | 112213013010000 |
5 | 1234103220141 |
6 | 101350452000 |
7 | 12254301312 |
oct | 2647070400 |
9 | 872731130 |
10 | 379351296 |
11 | 185152275 |
12 | a7064000 |
13 | 60791b2c |
14 | 3854b7b2 |
15 | 234855b6 |
hex | 169c7100 |
379351296 has 144 divisors (see below), whose sum is σ = 1139080320. Its totient is φ = 124508160.
The previous prime is 379351267. The next prime is 379351303. The reversal of 379351296 is 692153973.
379351296 is a `hidden beast` number, since 3 + 7 + 9 + 351 + 296 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490366 + ... + 491138.
It is an arithmetic number, because the mean of its divisors is an integer number (7910280).
Almost surely, 2379351296 is an apocalyptic number.
379351296 is a gapful number since it is divisible by the number (36) 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 379351296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569540160).
379351296 is an abundant number, since it is smaller than the sum of its proper divisors (759729024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
379351296 is an equidigital number, since it uses as much as digits as its factorization.
379351296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 869 (or 849 counting only the distinct ones).
The product of its digits is 306180, while the sum is 45.
The square root of 379351296 is about 19476.9426758924. The cubic root of 379351296 is about 723.9032460268.
The spelling of 379351296 in words is "three hundred seventy-nine million, three hundred fifty-one thousand, two hundred ninety-six".
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