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381770496 = 283517192
BaseRepresentation
bin10110110000010…
…101101100000000
3222121100221200000
4112300111230000
51240213123441
6101514400000
712313665342
oct2660255400
9877327600
10381770496
11186554908
12a7a30000
136112b003
14389bb292
15237b22b6
hex16c15b00

381770496 has 324 divisors, whose sum is σ = 1275615432. Its totient is φ = 113467392.

The previous prime is 381770483. The next prime is 381770497. The reversal of 381770496 is 694077183.

It is a tau number, because it is divible by the number of its divisors (324).

It is not an unprimeable number, because it can be changed into a prime (381770497) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 20093175 + ... + 20093193.

Almost surely, 2381770496 is an apocalyptic number.

381770496 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 381770496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637807716).

381770496 is an abundant number, since it is smaller than the sum of its proper divisors (893844936).

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

381770496 is an equidigital number, since it uses as much as digits as its factorization.

381770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 381770496 is about 19538.9481804932. The cubic root of 381770496 is about 725.4388122747.

The spelling of 381770496 in words is "three hundred eighty-one million, seven hundred seventy thousand, four hundred ninety-six".