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380250000 = 243256132
BaseRepresentation
bin10110101010100…
…010011110010000
3222111111200221100
4112222202132100
51234321000000
6101422024400
712265033404
oct2652423620
9874450840
10380250000
111857064a9
12a7418100
1360a17c00
1438703104
15235b1a00
hex16aa2790

380250000 has 315 divisors, whose sum is σ = 1440391719. Its totient is φ = 93600000.

The previous prime is 380249971. The next prime is 380250019. The reversal of 380250000 is 52083.

The square root of 380250000 is 19500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 178382736 + 201867264 = 13356^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 62 ways as a sum of consecutive naturals, for example, 29249994 + ... + 29250006.

Almost surely, 2380250000 is an apocalyptic number.

380250000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

380250000 is the 19500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380250000

380250000 is an abundant number, since it is smaller than the sum of its proper divisors (1060141719).

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

380250000 is an equidigital number, since it uses as much as digits as its factorization.

380250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 380250000 is about 724.4744506734.

The spelling of 380250000 in words is "three hundred eighty million, two hundred fifty thousand".