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1324213400 = 235242115727
BaseRepresentation
bin100111011101101…
…1110010010011000
310102021202000021202
41032323132102120
510202444312100
6335222253332
744546425316
oct11673362230
93367660252
101324213400
1161a536144
1230b587248
13181465133
14c7c250b6
157b3c47d5
hex4eede498

1324213400 has 48 divisors (see below), whose sum is σ = 3086305440. Its totient is φ = 528393600.

The previous prime is 1324213349. The next prime is 1324213409. The reversal of 1324213400 is 43124231.

It is a super-2 number, since 2×13242134002 = 3507082257479120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324213409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76337 + ... + 92063.

It is an arithmetic number, because the mean of its divisors is an integer number (64298030).

Almost surely, 21324213400 is an apocalyptic number.

1324213400 is a gapful number since it is divisible by the number (10) 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 1324213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543152720).

1324213400 is an abundant number, since it is smaller than the sum of its proper divisors (1762092040).

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

1324213400 is a wasteful number, since it uses less digits than its factorization.

1324213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16164 (or 16155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1324213400 is about 36389.7430603735. The cubic root of 1324213400 is about 1098.1272265960.

Adding to 1324213400 its reverse (43124231), we get a palindrome (1367337631).

The spelling of 1324213400 in words is "one billion, three hundred twenty-four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 421 842 1684 2105 3368 4210 8420 10525 15727 16840 21050 31454 42100 62908 78635 84200 125816 157270 314540 393175 629080 786350 1572700 3145400 6621067 13242134 26484268 33105335 52968536 66210670 132421340 165526675 264842680 331053350 662106700 1324213400