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40345040 = 245717103
BaseRepresentation
bin1001100111100…
…1110111010000
32210220201222202
42121321313100
540312020130
64000422332
7666633011
oct231716720
983821882
1040345040
112085690a
12116179a8
138487908
145503008
15381e145
hex2679dd0

40345040 has 40 divisors (see below), whose sum is σ = 95136768. Its totient is φ = 15908480.

The previous prime is 40345021. The next prime is 40345057. The reversal of 40345040 is 4054304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129 + ... + 9231.

Almost surely, 240345040 is an apocalyptic number.

40345040 is a gapful number since it is divisible by the number (40) 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 40345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47568384).

40345040 is an abundant number, since it is smaller than the sum of its proper divisors (54791728).

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

40345040 is a wasteful number, since it uses less digits than its factorization.

40345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7187 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 40345040 is about 6351.7745551932. The cubic root of 40345040 is about 342.9757255159.

Adding to 40345040 its reverse (4054304), we get a palindrome (44399344).

The spelling of 40345040 in words is "forty million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 7103 14206 28412 35515 56824 71030 113648 142060 284120 504313 568240 1008626 2017252 2521565 4034504 5043130 8069008 10086260 20172520 40345040