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253242340 = 22513974009
BaseRepresentation
bin11110001100000…
…10101111100100
3122122112001011221
433012002233210
51004312223330
641043510124
76163344601
oct1706025744
9578461157
10253242340
1111aa4879a
1270988344
1340609450
14258c16a8
1517374b7a
hexf182be4

253242340 has 24 divisors (see below), whose sum is σ = 572717880. Its totient is φ = 93504768.

The previous prime is 253242287. The next prime is 253242347. The reversal of 253242340 is 43242352.

253242340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10381284 + 242861056 = 3222^2 + 15584^2 .

It is not an unprimeable number, because it can be changed into a prime (253242347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486745 + ... + 487264.

It is an arithmetic number, because the mean of its divisors is an integer number (23863245).

Almost surely, 2253242340 is an apocalyptic number.

253242340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253242340 is an abundant number, since it is smaller than the sum of its proper divisors (319475540).

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

253242340 is a wasteful number, since it uses less digits than its factorization.

253242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974031 (or 974029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 253242340 is about 15913.5897898620. The cubic root of 253242340 is about 632.6722304332.

Adding to 253242340 its reverse (43242352), we get a palindrome (296484692).

The spelling of 253242340 in words is "two hundred fifty-three million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 974009 1948018 3896036 4870045 9740090 12662117 19480180 25324234 50648468 63310585 126621170 253242340