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380072 = 23711617
BaseRepresentation
bin1011100110010101000
3201022100202
41130302220
544130242
612051332
73142040
oct1346250
9638322
10380072
1123a610
12163b48
13103cc4
149c720
1577932
hex5cca8

380072 has 32 divisors (see below), whose sum is σ = 889920. Its totient is φ = 147840.

The previous prime is 380071. The next prime is 380117. The reversal of 380072 is 270083.

It is not an unprimeable number, because it can be changed into a prime (380071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (27810).

2380072 is an apocalyptic number.

It is a pronic number, being equal to 616×617.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444960).

380072 is an abundant number, since it is smaller than the sum of its proper divisors (509848).

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

380072 is a wasteful number, since it uses less digits than its factorization.

380072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 380072 is about 616.4997972425. The cubic root of 380072 is about 72.4361387706.

The spelling of 380072 in words is "three hundred eighty thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 617 1234 2468 4319 4936 6787 8638 13574 17276 27148 34552 47509 54296 95018 190036 380072