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40301000 = 2353191211
BaseRepresentation
bin1001100110111…
…1000111001000
32210211111120122
42121233013020
540304113000
63555442412
7666360425
oct231570710
983744518
1040301000
1120826813
12115b6408
13847085c
1454d0d4c
153811085
hex266f1c8

40301000 has 64 divisors (see below), whose sum is σ = 95247360. Its totient is φ = 15960000.

The previous prime is 40300973. The next prime is 40301017. The reversal of 40301000 is 10304.

40301000 is nontrivially palindromic in base 3.

40301000 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 (8).

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 15 ways as a sum of consecutive naturals, for example, 190895 + ... + 191105.

It is an arithmetic number, because the mean of its divisors is an integer number (1488240).

Almost surely, 240301000 is an apocalyptic number.

40301000 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 40301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47623680).

40301000 is an abundant number, since it is smaller than the sum of its proper divisors (54946360).

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

40301000 is a wasteful number, since it uses less digits than its factorization.

40301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 40301000 is about 6348.3068608882. The cubic root of 40301000 is about 342.8508844757.

Adding to 40301000 its reverse (10304), we get a palindrome (40311304).

The spelling of 40301000 in words is "forty million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 191 200 211 250 382 422 500 764 844 955 1000 1055 1528 1688 1910 2110 3820 4220 4775 5275 7640 8440 9550 10550 19100 21100 23875 26375 38200 40301 42200 47750 52750 80602 95500 105500 161204 191000 201505 211000 322408 403010 806020 1007525 1612040 2015050 4030100 5037625 8060200 10075250 20150500 40301000