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380459268 = 2238719109
BaseRepresentation
bin10110101011010…
…101100100000100
3222111220100000000
4112223111210010
51234344144033
6101430321300
712266564460
oct2653254404
9874810000
10380459268
11185839752
12a74b9230
1360a8c237
14387594a0
1523603a13
hex16ad5904

380459268 has 216 divisors, whose sum is σ = 1212411200. Its totient is φ = 102036672.

The previous prime is 380459243. The next prime is 380459273. The reversal of 380459268 is 862954083.

380459268 is a `hidden beast` number, since 380 + 4 + 5 + 9 + 268 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3490398 + ... + 3490506.

Almost surely, 2380459268 is an apocalyptic number.

380459268 is a gapful number since it is divisible by the number (38) 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 380459268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606205600).

380459268 is an abundant number, since it is smaller than the sum of its proper divisors (831951932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380459268 is a wasteful number, since it uses less digits than its factorization.

380459268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 380459268 is about 19505.3651080927. The cubic root of 380459268 is about 724.6073294947.

The spelling of 380459268 in words is "three hundred eighty million, four hundred fifty-nine thousand, two hundred sixty-eight".