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382830336 = 2832723391
BaseRepresentation
bin10110110100011…
…000011100000000
3222200100210111100
4112310120130000
51241001032321
6101553214400
712326001300
oct2664303400
9880323440
10382830336
11187109109
12a8261400
136140c535
1438bb5600
1523921326
hex16d18700

382830336 has 162 divisors, whose sum is σ = 1284384192. Its totient is φ = 109347840.

The previous prime is 382830317. The next prime is 382830337. The reversal of 382830336 is 633038283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 382830336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382830337) 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 17 ways as a sum of consecutive naturals, for example, 111201 + ... + 114591.

Almost surely, 2382830336 is an apocalyptic number.

382830336 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 382830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642192096).

382830336 is an abundant number, since it is smaller than the sum of its proper divisors (901553856).

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

382830336 is a wasteful number, since it uses less digits than its factorization.

382830336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 382830336 is about 19566.0505979107. The cubic root of 382830336 is about 726.1094933097.

The spelling of 382830336 in words is "three hundred eighty-two million, eight hundred thirty thousand, three hundred thirty-six".