Search a number
-
+
4312240 = 245192837
BaseRepresentation
bin10000011100110010110000
322010002021121
4100130302300
52100442430
6232232024
751440062
oct20346260
98102247
104312240
112485939
12153b614
13b7ca2a
14803732
155a2a7a
hex41ccb0

4312240 has 40 divisors (see below), whose sum is σ = 10557360. Its totient is φ = 1633536.

The previous prime is 4312229. The next prime is 4312261. The reversal of 4312240 is 422134.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 2938.

It is an arithmetic number, because the mean of its divisors is an integer number (263934).

Almost surely, 24312240 is an apocalyptic number.

4312240 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 4312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5278680).

4312240 is an abundant number, since it is smaller than the sum of its proper divisors (6245120).

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

4312240 is a wasteful number, since it uses less digits than its factorization.

4312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4312240 is about 2076.5933641423. The cubic root of 4312240 is about 162.7674805807.

Adding to 4312240 its reverse (422134), we get a palindrome (4734374).

The spelling of 4312240 in words is "four million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2837 5674 11348 14185 22696 28370 45392 53903 56740 107806 113480 215612 226960 269515 431224 539030 862448 1078060 2156120 4312240