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380600640 = 26335722931
BaseRepresentation
bin10110101011111…
…000000101000000
3222112011111221000
4112223320011000
51234413210030
6101433332000
712301023600
oct2653700500
9875144830
10380600640
11185925992
12a7567000
1360b0b6a4
1438794c00
1523630860
hex16af8140

380600640 has 672 divisors, whose sum is σ = 1667865600. Its totient is φ = 81285120.

The previous prime is 380600617. The next prime is 380600707. The reversal of 380600640 is 46006083.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12277425 + ... + 12277455.

Almost surely, 2380600640 is an apocalyptic number.

380600640 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 380600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

380600640 is an abundant number, since it is smaller than the sum of its proper divisors (1287264960).

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

380600640 is a wasteful number, since it uses less digits than its factorization.

380600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 380600640 is about 19508.9886975209. The cubic root of 380600640 is about 724.6970688444.

The spelling of 380600640 in words is "three hundred eighty million, six hundred thousand, six hundred forty".