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380386368 = 263631263
BaseRepresentation
bin10110101011000…
…011110001000000
3222111202122000000
4112223003301000
51234334330433
6101425000000
712266142105
oct2653036100
9874678000
10380386368
111857999aa
12a7483000
1360a64cbb
143873aaac
15235dc113
hex16ac3c40

380386368 has 196 divisors, whose sum is σ = 1172675328. Its totient is φ = 122238720.

The previous prime is 380386367. The next prime is 380386411. The reversal of 380386368 is 863683083.

It is a happy number.

380386368 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 8 + 636 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (380386367) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1446205 + ... + 1446467.

Almost surely, 2380386368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586337664).

380386368 is an abundant number, since it is smaller than the sum of its proper divisors (792288960).

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

380386368 is an equidigital number, since it uses as much as digits as its factorization.

380386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 380386368 is about 19503.4963019455. The cubic root of 380386368 is about 724.5610457416.

The spelling of 380386368 in words is "three hundred eighty million, three hundred eighty-six thousand, three hundred sixty-eight".