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4400040 = 233537991
BaseRepresentation
bin10000110010001110101000
322021112201110
4100302032220
52111300130
6234150320
752254051
oct20621650
98245643
104400040
1125358a7
1215823a0
13bb0998
14827728
155bdab0
hex4323a8

4400040 has 64 divisors (see below), whose sum is σ = 13570560. Its totient is φ = 1140480.

The previous prime is 4400027. The next prime is 4400041. The reversal of 4400040 is 400044.

4400040 is nontrivially palindromic in base 14.

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 = 4399989 and 4400025.

It is not an unprimeable number, because it can be changed into a prime (4400041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3945 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 24400040 is an apocalyptic number.

4400040 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 4400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280).

4400040 is an abundant number, since it is smaller than the sum of its proper divisors (9170520).

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

4400040 is a wasteful number, since it uses less digits than its factorization.

4400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

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

The square root of 4400040 is about 2097.6272309445. The cubic root of 4400040 is about 163.8647506770.

Adding to 4400040 its reverse (400044), we get a palindrome (4800084).

The spelling of 4400040 in words is "four million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 991 1110 1480 1982 2220 2973 3964 4440 4955 5946 7928 9910 11892 14865 19820 23784 29730 36667 39640 59460 73334 110001 118920 146668 183335 220002 293336 366670 440004 550005 733340 880008 1100010 1466680 2200020 4400040