[go: up one dir, main page]

Search a number
-
+
40344240 = 2435971733
BaseRepresentation
bin1001100111100…
…1101010110000
32210220200220010
42121321222300
540312003430
64000414520
7666630456
oct231715260
983820803
1040344240
1120856252
1211617440
138487441
1455029d6
15381dcb0
hex2679ab0

40344240 has 80 divisors (see below), whose sum is σ = 126429408. Its totient is φ = 10641408.

The previous prime is 40344229. The next prime is 40344257. The reversal of 40344240 is 4244304.

40344240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 22414 + ... + 24146.

Almost surely, 240344240 is an apocalyptic number.

40344240 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 40344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63214704).

40344240 is an abundant number, since it is smaller than the sum of its proper divisors (86085168).

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

40344240 is a wasteful number, since it uses less digits than its factorization.

40344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 40344240 is about 6351.7115803538. The cubic root of 40344240 is about 342.9734585508.

Adding to 40344240 its reverse (4244304), we get a palindrome (44588544).

The spelling of 40344240 in words is "forty million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1733 1940 2328 2910 3466 3880 4656 5199 5820 6932 7760 8665 10398 11640 13864 17330 20796 23280 25995 27728 34660 41592 51990 69320 83184 103980 138640 168101 207960 336202 415920 504303 672404 840505 1008606 1344808 1681010 2017212 2521515 2689616 3362020 4034424 5043030 6724040 8068848 10086060 13448080 20172120 40344240