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370080 = 25325257
BaseRepresentation
bin1011010010110100000
3200210122200
41122112200
543320310
611533200
73100644
oct1322640
9623580
10370080
11233057
1215a200
13cc5a9
1498c24
15749c0
hex5a5a0

370080 has 72 divisors (see below), whose sum is σ = 1267812. Its totient is φ = 98304.

The previous prime is 370067. The next prime is 370081. The reversal of 370080 is 80073.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 24336 = 588^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 370080.

It is not an unprimeable number, because it can be changed into a prime (370081) by changing a digit.

370080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312 + ... + 1568.

2370080 is an apocalyptic number.

370080 is a gapful number since it is divisible by the number (30) 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 370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633906).

370080 is an abundant number, since it is smaller than the sum of its proper divisors (897732).

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

370080 is a wasteful number, since it uses less digits than its factorization.

370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 370080 is about 608.3420090706. The cubic root of 370080 is about 71.7957172410.

The spelling of 370080 in words is "three hundred seventy thousand, eighty".