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204131340 = 22345747383
BaseRepresentation
bin11000010101011…
…00110000001100
3112020002221120000
430022230300030
5404224200330
632131124300
75026042050
oct1412546014
9466087500
10204131340
11a5254996
1258443690
13333a289a
141d179c60
1512dc3560
hexc2acc0c

204131340 has 240 divisors, whose sum is σ = 749371392. Its totient is φ = 45546624.

The previous prime is 204131329. The next prime is 204131351. The reversal of 204131340 is 43131402.

It is an interprime number because it is at equal distance from previous prime (204131329) and next prime (204131351).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 532789 + ... + 533171.

Almost surely, 2204131340 is an apocalyptic number.

204131340 is a gapful number since it is divisible by the number (20) 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 204131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374685696).

204131340 is an abundant number, since it is smaller than the sum of its proper divisors (545240052).

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

204131340 is a wasteful number, since it uses less digits than its factorization.

204131340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204131340 is about 14287.4539369336. The cubic root of 204131340 is about 588.8028391864.

Adding to 204131340 its reverse (43131402), we get a palindrome (247262742).

The spelling of 204131340 in words is "two hundred four million, one hundred thirty-one thousand, three hundred forty".