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380773680 = 243571979151
BaseRepresentation
bin10110101100100…
…010010100110000
3222112111022021220
4112230202110300
51234434224210
6101441145040
712302344230
oct2654422460
9875438256
10380773680
11185a339a1
12a762b180
1360b6c391
14387dbcc0
1523666c70
hex16b22530

380773680 has 320 divisors, whose sum is σ = 1447526400. Its totient is φ = 80870400.

The previous prime is 380773637. The next prime is 380773711. The reversal of 380773680 is 86377083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2521605 + ... + 2521755.

It is an arithmetic number, because the mean of its divisors is an integer number (4523520).

Almost surely, 2380773680 is an apocalyptic number.

380773680 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 380773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723763200).

380773680 is an abundant number, since it is smaller than the sum of its proper divisors (1066752720).

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

380773680 is a wasteful number, since it uses less digits than its factorization.

380773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 380773680 is about 19513.4230723366. The cubic root of 380773680 is about 724.8068799936.

The spelling of 380773680 in words is "three hundred eighty million, seven hundred seventy-three thousand, six hundred eighty".