Search a number
-
+
406743732 = 223211298437
BaseRepresentation
bin11000001111100…
…110101010110100
31001100100201111200
4120033212222310
51313111244412
6104205532500
713036156533
oct3017465264
91040321450
10406743732
1119966164a
12b4274130
1366362c85
143c03c31a
1525a969dc
hex183e6ab4

406743732 has 18 divisors (see below), whose sum is σ = 1028157858. Its totient is φ = 135581232.

The previous prime is 406743721. The next prime is 406743737. The reversal of 406743732 is 237347604.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 406667556 + 76176 = 20166^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11298437 = 406743732 / (4 + 0 + 6 + 7 + 4 + 3 + 7 + 3 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406743737) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5649183 + ... + 5649254.

It is an arithmetic number, because the mean of its divisors is an integer number (57119881).

Almost surely, 2406743732 is an apocalyptic number.

It is an amenable number.

406743732 is an abundant number, since it is smaller than the sum of its proper divisors (621414126).

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

406743732 is a wasteful number, since it uses less digits than its factorization.

406743732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298447 (or 11298442 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 406743732 is about 20167.8886351546. Note that the first 3 decimals coincide. The cubic root of 406743732 is about 740.9239323752.

The spelling of 406743732 in words is "four hundred six million, seven hundred forty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 11298437 22596874 33895311 45193748 67790622 101685933 135581244 203371866 406743732