Search a number
-
+
40334420 = 2257614723
BaseRepresentation
bin1001100111011…
…1010001010100
32210220012102102
42121313101110
540311200140
64000301232
7666560030
oct231672124
983805372
1040334420
1120849935
1211611818
138482b29
1454dd1c0
15381ae15
hex2677454

40334420 has 48 divisors (see below), whose sum is σ = 98410368. Its totient is φ = 13599360.

The previous prime is 40334381. The next prime is 40334423. The reversal of 40334420 is 2443304.

It is a happy number.

40334420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40334392 and 40334401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40334423) by changing a digit.

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, 6179 + ... + 10901.

It is an arithmetic number, because the mean of its divisors is an integer number (2050216).

Almost surely, 240334420 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 40334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49205184).

40334420 is an abundant number, since it is smaller than the sum of its proper divisors (58075948).

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

40334420 is a wasteful number, since it uses less digits than its factorization.

40334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 40334420 is about 6350.9385133223. The cubic root of 40334420 is about 342.9456291121.

Adding to 40334420 its reverse (2443304), we get a palindrome (42777724).

The spelling of 40334420 in words is "forty million, three hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 4723 8540 9446 18892 23615 33061 47230 66122 94460 132244 165305 288103 330610 576206 661220 1152412 1440515 2016721 2881030 4033442 5762060 8066884 10083605 20167210 40334420