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380780448 = 25341891087
BaseRepresentation
bin10110101100100…
…011111110100000
3222112111122120120
4112230203332200
51234434433243
6101441240240
712302403036
oct2654437640
9875448516
10380780448
11185a38a94
12a7633080
1360b72499
1438800556
1523668c83
hex16b23fa0

380780448 has 96 divisors (see below), whose sum is σ = 1036385280. Its totient is φ = 122327040.

The previous prime is 380780447. The next prime is 380780459. The reversal of 380780448 is 844087083.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (380780441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349761 + ... + 350847.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2380780448 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 380780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518192640).

380780448 is an abundant number, since it is smaller than the sum of its proper divisors (655604832).

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

380780448 is a wasteful number, since it uses less digits than its factorization.

380780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 380780448 is about 19513.5964906524. The cubic root of 380780448 is about 724.8111742889.

It can be divided in two parts, 3807 and 80448, that added together give a triangular number (84255 = T410).

The spelling of 380780448 in words is "three hundred eighty million, seven hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 89 96 123 164 178 246 267 328 356 492 534 656 712 984 1068 1087 1312 1424 1968 2136 2174 2848 3261 3649 3936 4272 4348 6522 7298 8544 8696 10947 13044 14596 17392 21894 26088 29192 34784 43788 44567 52176 58384 87576 89134 96743 104352 116768 133701 175152 178268 193486 267402 290229 350304 356536 386972 534804 580458 713072 773944 1069608 1160916 1426144 1547888 2139216 2321832 3095776 3966463 4278432 4643664 7932926 9287328 11899389 15865852 23798778 31731704 47597556 63463408 95195112 126926816 190390224 380780448