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380442816 = 26321323472
BaseRepresentation
bin10110101011010…
…001100011000000
3222111212111102200
4112223101203000
51234343132231
6101430113200
712266465505
oct2653214300
9874774380
10380442816
11185828356
12a74ab800
1360a848c0
14387534ac
15235edbe6
hex16ad18c0

380442816 has 252 divisors, whose sum is σ = 1252039152. Its totient is φ = 109587456.

The previous prime is 380442791. The next prime is 380442859. The reversal of 380442816 is 618244083.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8094505 + ... + 8094551.

Almost surely, 2380442816 is an apocalyptic number.

380442816 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 380442816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626019576).

380442816 is an abundant number, since it is smaller than the sum of its proper divisors (871596336).

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

380442816 is a wasteful number, since it uses less digits than its factorization.

380442816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 380442816 is about 19504.9433734118. The cubic root of 380442816 is about 724.5968847397.

Adding to 380442816 its reverse (618244083), we get a palindrome (998686899).

The spelling of 380442816 in words is "three hundred eighty million, four hundred forty-two thousand, eight hundred sixteen".