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380484 = 223313271
BaseRepresentation
bin1011100111001000100
3201022221000
41130321010
544133414
612053300
73143166
oct1347104
9638830
10380484
1123a955
12164230
13104250
149c936
1577b09
hex5ce44

380484 has 48 divisors (see below), whose sum is σ = 1066240. Its totient is φ = 116640.

The previous prime is 380483. The next prime is 380503. The reversal of 380484 is 484083.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (380483) 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, 1269 + ... + 1539.

2380484 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 380484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533120).

380484 is an abundant number, since it is smaller than the sum of its proper divisors (685756).

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

380484 is a wasteful number, since it uses less digits than its factorization.

380484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 380484 is about 616.8338512112. The cubic root of 380484 is about 72.4623030343.

The spelling of 380484 in words is "three hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 271 351 468 542 702 813 1084 1404 1626 2439 3252 3523 4878 7046 7317 9756 10569 14092 14634 21138 29268 31707 42276 63414 95121 126828 190242 380484