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380608 = 2619313
BaseRepresentation
bin1011100111011000000
3201100002121
41130323000
544134413
612054024
73143434
oct1347300
9640077
10380608
1123aa58
12164314
13104317
149c9c4
1577b8d
hex5cec0

380608 has 28 divisors (see below), whose sum is σ = 797560. Its totient is φ = 179712.

The previous prime is 380591. The next prime is 380621. The reversal of 380608 is 806083.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1060 + ... + 1372.

2380608 is an apocalyptic number.

380608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398780).

380608 is an abundant number, since it is smaller than the sum of its proper divisors (416952).

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

380608 is a wasteful number, since it uses less digits than its factorization.

380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 380608 is about 616.9343563135. The cubic root of 380608 is about 72.4701740177.

Subtracting from 380608 its product of nonzero digits (1152), we obtain a square (379456 = 6162).

The spelling of 380608 in words is "three hundred eighty thousand, six hundred eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 313 608 626 1216 1252 2504 5008 5947 10016 11894 20032 23788 47576 95152 190304 380608