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40364300 = 22522111913
BaseRepresentation
bin1001100111111…
…0100100001100
32210221201102002
42121332210030
540313124200
64001051432
71000043114
oct231764414
983851362
1040364300
112086a329
1211626b78
138493602
14550a044
153824bd5
hex267e90c

40364300 has 36 divisors (see below), whose sum is σ = 88051656. Its totient is φ = 16060800.

The previous prime is 40364297. The next prime is 40364329. The reversal of 40364300 is 346304.

It is a happy number.

40364300 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 (20).

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 11 ways as a sum of consecutive naturals, for example, 20144 + ... + 22056.

Almost surely, 240364300 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 40364300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44025828).

40364300 is an abundant number, since it is smaller than the sum of its proper divisors (47687356).

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

40364300 is a wasteful number, since it uses less digits than its factorization.

40364300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 40364300 is about 6353.2904860395. The cubic root of 40364300 is about 343.0302936578.

The spelling of 40364300 in words is "forty million, three hundred sixty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 844 1055 1913 2110 3826 4220 5275 7652 9565 10550 19130 21100 38260 47825 95650 191300 403643 807286 1614572 2018215 4036430 8072860 10091075 20182150 40364300