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40311304 = 2311895147
BaseRepresentation
bin1001100111000…
…1101000001000
32210212000201021
42121301220020
540304430204
64000002224
7666432445
oct231615010
983760637
1040311304
1120833530
1211600374
138475457
1454d49cc
153814154
hex2671a08

40311304 has 32 divisors (see below), whose sum is σ = 83397600. Its totient is φ = 18113920.

The previous prime is 40311283. The next prime is 40311307.

40311304 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (40311307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5259 + ... + 10405.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 240311304 is an apocalyptic number.

40311304 is a gapful number since it is divisible by the number (44) 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 40311304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41698800).

40311304 is an abundant number, since it is smaller than the sum of its proper divisors (43086296).

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

40311304 is a wasteful number, since it uses less digits than its factorization.

40311304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5253 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 40311304 is about 6349.1183639935. The cubic root of 40311304 is about 342.8801015710.

It can be divided in two parts, 4031 and 1304, that added together give a palindrome (5335).

The spelling of 40311304 in words is "forty million, three hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 5147 7832 10294 20588 41176 56617 113234 226468 452936 458083 916166 1832332 3664664 5038913 10077826 20155652 40311304