Search a number
BaseRepresentation
bin1100000000110111100000
312221000000000
430000313200
51301234110
6151300000
735524401
oct14006740
95830000
103149280
111861112
12107a600
138635a4
145bd9a8
154231c0
hex300de0

3149280 has 120 divisors (see below), whose sum is σ = 11160072. Its totient is φ = 839808.

The previous prime is 3149273. The next prime is 3149309. The reversal of 3149280 is 829413.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629854 + ... + 629858.

Almost surely, 23149280 is an apocalyptic number.

3149280 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 3149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580036).

3149280 is an abundant number, since it is smaller than the sum of its proper divisors (8010792).

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

3149280 is an frugal number, since it uses more digits than its factorization.

3149280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3149280 is about 1774.6210863167. The cubic root of 3149280 is about 146.5785512961.

The spelling of 3149280 in words is "three million, one hundred forty-nine thousand, two hundred eighty".