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380983296 = 2113591051
BaseRepresentation
bin10110101101010…
…101100000000000
3222112212221211110
4112231111200000
51240012431141
6101445443320
712304206321
oct2655254000
9875787743
10380983296
11186067431
12a7710540
1360c13905
1438854448
15236a8e16
hex16b55800

380983296 has 96 divisors (see below), whose sum is σ = 1033905600. Its totient is φ = 124723200.

The previous prime is 380983289. The next prime is 380983297. The reversal of 380983296 is 692389083.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380983297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361971 + ... + 363021.

It is an arithmetic number, because the mean of its divisors is an integer number (10769850).

Almost surely, 2380983296 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 380983296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516952800).

380983296 is an abundant number, since it is smaller than the sum of its proper divisors (652922304).

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

380983296 is a wasteful number, since it uses less digits than its factorization.

380983296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 380983296 is about 19518.7934053312. The cubic root of 380983296 is about 724.9398577142.

The spelling of 380983296 in words is "three hundred eighty million, nine hundred eighty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1024 1051 1416 1536 1888 2048 2102 2832 3072 3153 3776 4204 5664 6144 6306 7552 8408 11328 12612 15104 16816 22656 25224 30208 33632 45312 50448 60416 62009 67264 90624 100896 120832 124018 134528 181248 186027 201792 248036 269056 362496 372054 403584 496072 538112 744108 807168 992144 1076224 1488216 1614336 1984288 2152448 2976432 3228672 3968576 5952864 6457344 7937152 11905728 15874304 23811456 31748608 47622912 63497216 95245824 126994432 190491648 380983296