Search a number
-
+
440328 = 23372621
BaseRepresentation
bin1101011100000001000
3211101000110
41223200020
5103042303
613234320
73512520
oct1534010
9741013
10440328
11280909
121929a0
13125565
14b6680
158a703
hex6b808

440328 has 32 divisors (see below), whose sum is σ = 1258560. Its totient is φ = 125760.

The previous prime is 440311. The next prime is 440329. The reversal of 440328 is 823044.

It is a happy number.

It is a super-3 number, since 3×4403283 = 256123933338502656, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (440329) by changing a digit.

440328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (39330).

2440328 is an apocalyptic number.

It is an amenable number.

440328 is an abundant number, since it is smaller than the sum of its proper divisors (818232).

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

440328 is a wasteful number, since it uses less digits than its factorization.

440328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 440328 is about 663.5721513144. The cubic root of 440328 is about 76.0779440422.

The spelling of 440328 in words is "four hundred forty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2621 5242 7863 10484 15726 18347 20968 31452 36694 55041 62904 73388 110082 146776 220164 440328