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40342768 = 2417712089
BaseRepresentation
bin1001100111100…
…1010011110000
32210220121212121
42121321103300
540311432033
64000404024
7666623254
oct231712360
983817777
1040342768
1120855134
1211616614
13848687b
145502264
15381d62d
hex26794f0

40342768 has 40 divisors (see below), whose sum is σ = 83967840. Its totient is φ = 18708480.

The previous prime is 40342763. The next prime is 40342769. The reversal of 40342768 is 86724304.

40342768 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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40342763) 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 7 ways as a sum of consecutive naturals, for example, 18268 + ... + 20356.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 240342768 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 40342768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41983920).

40342768 is an abundant number, since it is smaller than the sum of its proper divisors (43625072).

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

40342768 is a wasteful number, since it uses less digits than its factorization.

40342768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 40342768 is about 6351.5957050178. The cubic root of 40342768 is about 342.9692872567.

The spelling of 40342768 in words is "forty million, three hundred forty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2089 2414 4178 4828 8356 9656 16712 19312 33424 35513 71026 142052 148319 284104 296638 568208 593276 1186552 2373104 2521423 5042846 10085692 20171384 40342768