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40353313 = 7211132443
BaseRepresentation
bin1001100111101…
…1111000100001
32210221011100011
42121323320201
540312301223
64000524521
7666666100
oct231737041
983834304
1040353313
1120862050
1211620741
13848b600
145506037
15382180d
hex267be21

40353313 has 36 divisors (see below), whose sum is σ = 55576368. Its totient is φ = 28959840.

The previous prime is 40353311. The next prime is 40353323. The reversal of 40353313 is 31335304.

It is not a de Polignac number, because 40353313 - 21 = 40353311 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (40353311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90870 + ... + 91312.

It is an arithmetic number, because the mean of its divisors is an integer number (1543788).

Almost surely, 240353313 is an apocalyptic number.

It is an amenable number.

40353313 is a deficient number, since it is larger than the sum of its proper divisors (15223055).

40353313 is a wasteful number, since it uses less digits than its factorization.

40353313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 40353313 is about 6352.4257571419. The cubic root of 40353313 is about 342.9991670117. Note that the first 3 decimals are identical.

Adding to 40353313 its reverse (31335304), we get a palindrome (71688617).

Subtracting from 40353313 its reverse (31335304), we obtain a square (9018009 = 30032).

It can be divided in two parts, 40 and 353313, that added together give a palindrome (353353).

The spelling of 40353313 in words is "forty million, three hundred fifty-three thousand, three hundred thirteen".

Divisors: 1 7 11 13 49 77 91 143 169 443 539 637 1001 1183 1859 3101 4873 5759 7007 8281 13013 21707 34111 40313 63349 74867 91091 238777 282191 443443 524069 823537 3104101 3668483 5764759 40353313