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40346040 = 23357431117
BaseRepresentation
bin1001100111101…
…0000110111000
32210220210100210
42121322012320
540312033130
64000431120
7666635640
oct231720670
983823323
1040346040
1120857639
12116184a0
1384881c7
145503520
15381e5b0
hex267a1b8

40346040 has 128 divisors (see below), whose sum is σ = 141672960. Its totient is φ = 8999424.

The previous prime is 40346039. The next prime is 40346057. The reversal of 40346040 is 4064304.

40346040 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 40345998 and 40346016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35562 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (1106820).

Almost surely, 240346040 is an apocalyptic number.

40346040 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 40346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70836480).

40346040 is an abundant number, since it is smaller than the sum of its proper divisors (101326920).

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

40346040 is a wasteful number, since it uses less digits than its factorization.

40346040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40346040 is about 6351.8532728645. The cubic root of 40346040 is about 342.9785591802.

The spelling of 40346040 in words is "forty million, three hundred forty-six thousand, forty".