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380731680 = 253257107353
BaseRepresentation
bin10110101100011…
…000000100100000
3222112102011200100
4112230120010200
51234431403210
6101440222400
712302110620
oct2654300440
9875364610
10380731680
11185a0538a
12a760aa00
1360b56224
14387ca880
15236595c0
hex16b18120

380731680 has 288 divisors, whose sum is σ = 1502976384. Its totient is φ = 85966848.

The previous prime is 380731669. The next prime is 380731753. The reversal of 380731680 is 86137083.

380731680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3807316802 = 289913224311244800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078384 + ... + 1078736.

It is an arithmetic number, because the mean of its divisors is an integer number (5218668).

Almost surely, 2380731680 is an apocalyptic number.

380731680 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 380731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751488192).

380731680 is an abundant number, since it is smaller than the sum of its proper divisors (1122244704).

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

380731680 is a wasteful number, since it uses less digits than its factorization.

380731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 380731680 is about 19512.3468603856. The cubic root of 380731680 is about 724.7802298600.

The spelling of 380731680 in words is "three hundred eighty million, seven hundred thirty-one thousand, six hundred eighty".