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380512440 = 2332572113753
BaseRepresentation
bin10110101011100…
…010100010111000
3222112000000221100
4112223202202320
51234402344230
6101431411400
712300205500
oct2653424270
9875000840
10380512440
111858756a0
12a7523b60
1360aaa4b9
1438770a00
1523614660
hex16ae28b8

380512440 has 576 divisors, whose sum is σ = 1642174560. Its totient is φ = 75479040.

The previous prime is 380512439. The next prime is 380512441. The reversal of 380512440 is 44215083.

It is an interprime number because it is at equal distance from previous prime (380512439) and next prime (380512441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380512441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7179454 + ... + 7179506.

Almost surely, 2380512440 is an apocalyptic number.

380512440 is a gapful number since it is divisible by the number (30) 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 380512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821087280).

380512440 is an abundant number, since it is smaller than the sum of its proper divisors (1261662120).

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

380512440 is a wasteful number, since it uses less digits than its factorization.

380512440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 380512440 is about 19506.7280700788. The cubic root of 380512440 is about 724.6410843356.

The spelling of 380512440 in words is "three hundred eighty million, five hundred twelve thousand, four hundred forty".