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40304144 = 2417712087
BaseRepresentation
bin1001100110111…
…1111000010000
32210211122220002
42121233320100
540304213034
63555505132
7666402536
oct231577020
983748802
1040304144
1120829111
12115b81a8
13847210a
1454d2156
153811e7e
hex266fe10

40304144 has 40 divisors (see below), whose sum is σ = 83887488. Its totient is φ = 18690560.

The previous prime is 40304129. The next prime is 40304183. The reversal of 40304144 is 44140304.

40304144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 18269 + ... + 20355.

Almost surely, 240304144 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 40304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41943744).

40304144 is an abundant number, since it is smaller than the sum of its proper divisors (43583344).

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

40304144 is a wasteful number, since it uses less digits than its factorization.

40304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 40304144 is about 6348.5544811398. The cubic root of 40304144 is about 342.8597998471.

Adding to 40304144 its reverse (44140304), we get a palindrome (84444448).

The spelling of 40304144 in words is "forty million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2087 2414 4174 4828 8348 9656 16696 19312 33392 35479 70958 141916 148177 283832 296354 567664 592708 1185416 2370832 2519009 5038018 10076036 20152072 40304144