Search a number
-
+
8378344 = 231326197
BaseRepresentation
bin11111111101011111101000
3120202122221001
4133331133220
54121101334
6455324344
7131133442
oct37753750
916678831
108378344
114802857
1229806b4
131974700
141181492
15b07714
hex7fd7e8

8378344 has 24 divisors (see below), whose sum is σ = 17013510. Its totient is φ = 3866304.

The previous prime is 8378341. The next prime is 8378347. The reversal of 8378344 is 4438738.

It is an interprime number because it is at equal distance from previous prime (8378341) and next prime (8378347).

It can be written as a sum of positive squares in 3 ways, for example, as 3755844 + 4622500 = 1938^2 + 2150^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8378341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1747 + ... + 4450.

Almost surely, 28378344 is an apocalyptic number.

It is an amenable number.

8378344 is an abundant number, since it is smaller than the sum of its proper divisors (8635166).

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

8378344 is a wasteful number, since it uses less digits than its factorization.

8378344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6212 counting only the distinct ones).

The product of its digits is 64512, while the sum is 37.

The square root of 8378344 is about 2894.5369232401. The cubic root of 8378344 is about 203.1044299170.

The spelling of 8378344 in words is "eight million, three hundred seventy-eight thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 6197 12394 24788 49576 80561 161122 322244 644488 1047293 2094586 4189172 8378344