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40323400 = 23521321193
BaseRepresentation
bin1001100111010…
…0100101001000
32210212122022021
42121310211020
540310322100
64000134224
7666512635
oct231644510
983778267
1040323400
1120841627
1211607374
13847ab00
1454d918c
153817a1a
hex2674948

40323400 has 72 divisors (see below), whose sum is σ = 101603430. Its totient is φ = 14876160.

The previous prime is 40323331. The next prime is 40323421. The reversal of 40323400 is 432304.

It can be written as a sum of positive squares in 9 ways, for example, as 708964 + 39614436 = 842^2 + 6294^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33204 + ... + 34396.

Almost surely, 240323400 is an apocalyptic number.

40323400 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 40323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50801715).

40323400 is an abundant number, since it is smaller than the sum of its proper divisors (61280030).

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

40323400 is a wasteful number, since it uses less digits than its factorization.

40323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 40323400 is about 6350.0708657463. The cubic root of 40323400 is about 342.9143935481.

Adding to 40323400 its reverse (432304), we get a palindrome (40755704).

The spelling of 40323400 in words is "forty million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1193 1300 1352 1690 2386 2600 3380 4225 4772 5965 6760 8450 9544 11930 15509 16900 23860 29825 31018 33800 47720 59650 62036 77545 119300 124072 155090 201617 238600 310180 387725 403234 620360 775450 806468 1008085 1550900 1612936 2016170 3101800 4032340 5040425 8064680 10080850 20161700 40323400