Search a number
-
+
40346388 = 22321975689
BaseRepresentation
bin1001100111101…
…0001100010100
32210220210211200
42121322030110
540312041023
64000432500
7666636645
oct231721424
983823750
1040346388
1120857925
1211618730
138488404
1455036cc
15381e743
hex267a314

40346388 has 36 divisors (see below), whose sum is σ = 102522420. Its totient is φ = 13378176.

The previous prime is 40346387. The next prime is 40346413. The reversal of 40346388 is 88364304.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 1258884 = 6252^2 + 1122^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40346381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4248 + ... + 9936.

It is an arithmetic number, because the mean of its divisors is an integer number (2847845).

Almost surely, 240346388 is an apocalyptic number.

It is an amenable number.

40346388 is an abundant number, since it is smaller than the sum of its proper divisors (62176032).

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

40346388 is a wasteful number, since it uses less digits than its factorization.

40346388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 40346388 is about 6351.8806663854. The cubic root of 40346388 is about 342.9795452844.

The spelling of 40346388 in words is "forty million, three hundred forty-six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 5689 7092 11378 17067 22756 34134 51201 68268 102402 204804 1120733 2241466 3362199 4482932 6724398 10086597 13448796 20173194 40346388