Search a number
-
+
440046 = 23329281
BaseRepresentation
bin1101011011011101110
3211100122000
41223123232
5103040141
613233130
73511635
oct1533356
9740560
10440046
11280682
121927a6
131253a9
14b651c
158a5b6
hex6b6ee

440046 has 32 divisors (see below), whose sum is σ = 1015200. Its totient is φ = 141120.

The previous prime is 440039. The next prime is 440047. The reversal of 440046 is 640044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440047) by changing a digit.

440046 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (31725).

2440046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507600).

440046 is an abundant number, since it is smaller than the sum of its proper divisors (575154).

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

440046 is a wasteful number, since it uses less digits than its factorization.

440046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 440046 is about 663.3596309695. The cubic root of 440046 is about 76.0616996655.

The spelling of 440046 in words is "four hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 281 522 562 783 843 1566 1686 2529 5058 7587 8149 15174 16298 24447 48894 73341 146682 220023 440046