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380287040 = 2657279307
BaseRepresentation
bin10110101010101…
…011100001000000
3222111120120202012
4112222223201000
51234323141130
6101422512052
712265246400
oct2652534100
9874516665
10380287040
11185731311
12a7435628
1360a2ba23
1438712800
15235bc995
hex16aab840

380287040 has 168 divisors, whose sum is σ = 1070213760. Its totient is φ = 128314368.

The previous prime is 380286979. The next prime is 380287051. The reversal of 380287040 is 40782083.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 380286988 and 380287006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1238567 + ... + 1238873.

It is an arithmetic number, because the mean of its divisors is an integer number (6370320).

Almost surely, 2380287040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535106880).

380287040 is an abundant number, since it is smaller than the sum of its proper divisors (689926720).

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

380287040 is a wasteful number, since it uses less digits than its factorization.

380287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 380287040 is about 19500.9497204623. The cubic root of 380287040 is about 724.4979734982.

The spelling of 380287040 in words is "three hundred eighty million, two hundred eighty-seven thousand, forty".