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380280 = 23353169
BaseRepresentation
bin1011100110101111000
3201022122110
41130311320
544132110
612052320
73142455
oct1346570
9638573
10380280
1123a78a
121640a0
13104124
149c82c
1577a20
hex5cd78

380280 has 32 divisors (see below), whose sum is σ = 1141200. Its totient is φ = 101376.

The previous prime is 380269. The next prime is 380287. The reversal of 380280 is 82083.

It is a super-2 number, since 2×3802802 = 289225756800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380287) 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, 1465 + ... + 1704.

2380280 is an apocalyptic number.

380280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380280 is an abundant number, since it is smaller than the sum of its proper divisors (760920).

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

380280 is a wasteful number, since it uses less digits than its factorization.

380280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 380280 is about 616.6684684658. The cubic root of 380280 is about 72.4493502755.

The spelling of 380280 in words is "three hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3169 6338 9507 12676 15845 19014 25352 31690 38028 47535 63380 76056 95070 126760 190140 380280