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440040 = 233519193
BaseRepresentation
bin1101011011011101000
3211100121210
41223123220
5103040130
613233120
73511626
oct1533350
9740553
10440040
11280677
121927a0
131253a3
14b6516
158a5b0
hex6b6e8

440040 has 64 divisors (see below), whose sum is σ = 1396800. Its totient is φ = 110592.

The previous prime is 440039. The next prime is 440047. The reversal of 440040 is 40044.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 439998 and 440025.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (21825).

2440040 is an apocalyptic number.

440040 is a gapful number since it is divisible by the number (40) 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 440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698400).

440040 is an abundant number, since it is smaller than the sum of its proper divisors (956760).

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

440040 is a wasteful number, since it uses less digits than its factorization.

440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 440040 is about 663.3551085203. The cubic root of 440040 is about 76.0613539651.

Adding to 440040 its reverse (40044), we get a palindrome (480084).

The spelling of 440040 in words is "four hundred forty thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 193 228 285 380 386 456 570 579 760 772 965 1140 1158 1544 1930 2280 2316 2895 3667 3860 4632 5790 7334 7720 11001 11580 14668 18335 22002 23160 29336 36670 44004 55005 73340 88008 110010 146680 220020 440040