Search a number
-
+
369480 = 23353079
BaseRepresentation
bin1011010001101001000
3200202211110
41122031020
543310410
611530320
73066126
oct1321510
9622743
10369480
11232661
121599a0
13cc237
1498916
1574720
hex5a348

369480 has 32 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 98496.

The previous prime is 369469. The next prime is 369487. The reversal of 369480 is 84963.

369480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 369480.

It is not an unprimeable number, because it can be changed into a prime (369487) by changing a digit.

369480 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 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2369480 is an apocalyptic number.

369480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

369480 is an abundant number, since it is smaller than the sum of its proper divisors (739320).

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

369480 is a wasteful number, since it uses less digits than its factorization.

369480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 369480 is about 607.8486653765. The cubic root of 369480 is about 71.7568961470.

The spelling of 369480 in words is "three hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3079 6158 9237 12316 15395 18474 24632 30790 36948 46185 61580 73896 92370 123160 184740 369480