Search a number
-
+
40723368 = 23372231087
BaseRepresentation
bin1001101101011…
…0001110101000
32211121221221220
42123112032220
540411121433
64012502040
71003100010
oct233261650
984557856
1040723368
1120a95084
121177a920
13858ab8a
1455a0c40
1538962b3
hex26d63a8

40723368 has 64 divisors (see below), whose sum is σ = 116981760. Its totient is φ = 11572416.

The previous prime is 40723321. The next prime is 40723433. The reversal of 40723368 is 86332704.

40723368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36921 + ... + 38007.

It is an arithmetic number, because the mean of its divisors is an integer number (1827840).

Almost surely, 240723368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40723368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58490880).

40723368 is an abundant number, since it is smaller than the sum of its proper divisors (76258392).

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

40723368 is a wasteful number, since it uses less digits than its factorization.

40723368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 40723368 is about 6381.4863472392. The cubic root of 40723368 is about 344.0444552247.

The spelling of 40723368 in words is "forty million, seven hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1087 1338 1561 1784 2174 2676 3122 3261 4348 4683 5352 6244 6522 7609 8696 9366 12488 13044 15218 18732 22827 26088 30436 37464 45654 60872 91308 182616 242401 484802 727203 969604 1454406 1696807 1939208 2908812 3393614 5090421 5817624 6787228 10180842 13574456 20361684 40723368