Search a number
-
+
40440320 = 29515797
BaseRepresentation
bin1001101001000…
…1001000000000
32211002120200122
42122101020000
540323042240
64002435412
71000510544
oct232211000
984076618
1040440320
1120911458
1211662b68
1384bc0ab
145529a24
15383c4b5
hex2691200

40440320 has 40 divisors (see below), whose sum is σ = 96968124. Its totient is φ = 16175104.

The previous prime is 40440319. The next prime is 40440347. The reversal of 40440320 is 2304404.

It can be written as a sum of positive squares in 2 ways, for example, as 40347904 + 92416 = 6352^2 + 304^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5339 + ... + 10458.

Almost surely, 240440320 is an apocalyptic number.

40440320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440320 is an abundant number, since it is smaller than the sum of its proper divisors (56527804).

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

40440320 is an equidigital number, since it uses as much as digits as its factorization.

40440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15820 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 40440320 is about 6359.2703984026. The cubic root of 40440320 is about 343.2455070126.

Adding to 40440320 its reverse (2304404), we get a palindrome (42744724).

The spelling of 40440320 in words is "forty million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 15797 31594 63188 78985 126376 157970 252752 315940 505504 631880 1011008 1263760 2022016 2527520 4044032 5055040 8088064 10110080 20220160 40440320