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202342324032 = 263219312291481
BaseRepresentation
bin1011110001110010001…
…0101101011101000000
3201100021120210002000100
42330130202231131000
511303344113332112
6232542122122400
720422142243022
oct2743442553500
9640246702010
10202342324032
11788a3a6a992
1233270050400
1316108692924
149b1720a012
1553e3e062dc
hex2f1c8ad740

202342324032 has 168 divisors, whose sum is σ = 583851120840. Its totient is φ = 66998108160.

The previous prime is 202342324031. The next prime is 202342324097. The reversal of 202342324032 is 230423243202.

It is a happy number.

202342324032 is a `hidden beast` number, since 2 + 0 + 23 + 4 + 232 + 403 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56522209536 + 145820114496 = 237744^2 + 381864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202342323987 and 202342324005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202342324031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136624732 + ... + 136626212.

Almost surely, 2202342324032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202342324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291925560420).

202342324032 is an abundant number, since it is smaller than the sum of its proper divisors (381508796808).

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

202342324032 is a wasteful number, since it uses less digits than its factorization.

202342324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 202342324032 its reverse (230423243202), we get a palindrome (432765567234).

The spelling of 202342324032 in words is "two hundred two billion, three hundred forty-two million, three hundred twenty-four thousand, thirty-two".