Search a number
-
+
380984420 = 225233126717
BaseRepresentation
bin10110101101010…
…101110001100100
3222112220000101002
4112231111301210
51240013000140
6101445452432
712304212515
oct2655256144
9875800332
10380984420
11186068263
12a7711118
1360c1428b
1438854a0c
15236a9415
hex16b55c64

380984420 has 48 divisors (see below), whose sum is σ = 861815808. Its totient is φ = 141060480.

The previous prime is 380984411. The next prime is 380984441. The reversal of 380984420 is 24489083.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 902 + ... + 27618.

It is an arithmetic number, because the mean of its divisors is an integer number (17954496).

Almost surely, 2380984420 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 380984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430907904).

380984420 is an abundant number, since it is smaller than the sum of its proper divisors (480831388).

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

380984420 is a wasteful number, since it uses less digits than its factorization.

380984420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26780 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 380984420 is about 19518.8221980733. The cubic root of 380984420 is about 724.9405706340.

The spelling of 380984420 in words is "three hundred eighty million, nine hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 14260 26717 53434 106868 133585 267170 534340 614491 828227 1228982 1656454 2457964 3072455 3312908 4141135 6144910 8282270 12289820 16564540 19049221 38098442 76196884 95246105 190492210 380984420