Search a number
-
+
253234176 = 21031317373
BaseRepresentation
bin11110001100000…
…00110000000000
3122122111121222120
433012000300000
51004311443201
641043404240
76163312026
oct1706006000
9578447876
10253234176
1111aa42648
1270983680
1340605810
14258bc716
1517372536
hexf180c00

253234176 has 176 divisors, whose sum is σ = 771702624. Its totient is φ = 73138176.

The previous prime is 253234139. The next prime is 253234199. The reversal of 253234176 is 671432352.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678726 + ... + 679098.

It is an arithmetic number, because the mean of its divisors is an integer number (4384674).

Almost surely, 2253234176 is an apocalyptic number.

253234176 is a gapful number since it is divisible by the number (26) 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 253234176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385851312).

253234176 is an abundant number, since it is smaller than the sum of its proper divisors (518468448).

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

253234176 is a wasteful number, since it uses less digits than its factorization.

253234176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 253234176 is about 15913.3332774752. Note that the first 3 decimals coincide. The cubic root of 253234176 is about 632.6654316865.

The spelling of 253234176 in words is "two hundred fifty-three million, two hundred thirty-four thousand, one hundred seventy-six".