Search a number
-
+
380272320 = 2634517863
BaseRepresentation
bin10110101010100…
…111111011000000
3222111112211120000
4112222213323000
51234322203240
6101422320000
712265155441
oct2652477300
9874484500
10380272320
1118572124a
12a7429000
1360a2510c
143870b2c8
15235b8430
hex16aa7ec0

380272320 has 280 divisors, whose sum is σ = 1433925504. Its totient is φ = 95330304.

The previous prime is 380272259. The next prime is 380272357. The reversal of 380272320 is 23272083.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440209 + ... + 441071.

Almost surely, 2380272320 is an apocalyptic number.

380272320 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 380272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716962752).

380272320 is an abundant number, since it is smaller than the sum of its proper divisors (1053653184).

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

380272320 is a wasteful number, since it uses less digits than its factorization.

380272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 380272320 is about 19500.5722992942. The cubic root of 380272320 is about 724.4886255174.

The spelling of 380272320 in words is "three hundred eighty million, two hundred seventy-two thousand, three hundred twenty".