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40323320 = 23517193121
BaseRepresentation
bin1001100111010…
…0100011111000
32210212122012022
42121310203320
540310321240
64000134012
7666512462
oct231644370
983778168
1040323320
1120841564
1211607308
13847aa6b
1454d9132
1538179b5
hex26748f8

40323320 has 64 divisors (see below), whose sum is σ = 101152800. Its totient is φ = 14376960.

The previous prime is 40323307. The next prime is 40323329. The reversal of 40323320 is 2332304.

40323320 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40323329) 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 15 ways as a sum of consecutive naturals, for example, 11360 + ... + 14480.

Almost surely, 240323320 is an apocalyptic number.

40323320 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 40323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50576400).

40323320 is an abundant number, since it is smaller than the sum of its proper divisors (60829480).

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

40323320 is a wasteful number, since it uses less digits than its factorization.

40323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 40323320 is about 6350.0645666009. The cubic root of 40323320 is about 342.9141667719.

Adding to 40323320 its reverse (2332304), we get a palindrome (42655624).

The spelling of 40323320 in words is "forty million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3121 3230 6242 6460 12484 12920 15605 24968 31210 53057 59299 62420 106114 118598 124840 212228 237196 265285 296495 424456 474392 530570 592990 1008083 1061140 1185980 2016166 2122280 2371960 4032332 5040415 8064664 10080830 20161660 40323320