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40312314 = 2327378647
BaseRepresentation
bin1001100111000…
…1110111111010
32210212002002200
42121301313322
540304443224
64000011030
7666435420
oct231616772
983762080
1040312314
1120834269
1211600a76
138475a53
1454d5110
1538145c9
hex2671dfa

40312314 has 48 divisors (see below), whose sum is σ = 102530688. Its totient is φ = 11205216.

The previous prime is 40312313. The next prime is 40312343. The reversal of 40312314 is 41321304.

40312314 is a `hidden beast` number, since 40 + 312 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40312313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339 + ... + 8985.

It is an arithmetic number, because the mean of its divisors is an integer number (2136056).

Almost surely, 240312314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40312314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51265344).

40312314 is an abundant number, since it is smaller than the sum of its proper divisors (62218374).

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

40312314 is a wasteful number, since it uses less digits than its factorization.

40312314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40312314 is about 6349.1979020976. The cubic root of 40312314 is about 342.8829651682.

Adding to 40312314 its reverse (41321304), we get a palindrome (81633618).

The spelling of 40312314 in words is "forty million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 8647 17294 25941 51882 60529 77823 121058 155646 181587 319939 363174 544761 639878 959817 1089522 1919634 2239573 2879451 4479146 5758902 6718719 13437438 20156157 40312314