Search a number
-
+
4414320 = 243256131
BaseRepresentation
bin10000110101101101110000
322022021022100
4100311231300
52112224240
6234340400
752343511
oct20655560
98267270
104414320
1125455a9
12158a700
13bb7331
1482ca08
155c2e30
hex435b70

4414320 has 60 divisors (see below), whose sum is σ = 14827176. Its totient is φ = 1176960.

The previous prime is 4414313. The next prime is 4414343. The reversal of 4414320 is 234144.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4414293 and 4414302.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 3785.

Almost surely, 24414320 is an apocalyptic number.

4414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4414320 is an abundant number, since it is smaller than the sum of its proper divisors (10412856).

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

4414320 is a wasteful number, since it uses less digits than its factorization.

4414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6141 counting only the distinct ones).

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

The square root of 4414320 is about 2101.0283196568. The cubic root of 4414320 is about 164.0418295046.

Adding to 4414320 its reverse (234144), we get a palindrome (4648464).

It can be divided in two parts, 441 and 4320, that added together give a square (4761 = 692).

The spelling of 4414320 in words is "four million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 6131 12262 18393 24524 30655 36786 49048 55179 61310 73572 91965 98096 110358 122620 147144 183930 220716 245240 275895 294288 367860 441432 490480 551790 735720 882864 1103580 1471440 2207160 4414320