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254424240 = 2434577179
BaseRepresentation
bin11110010101000…
…11010010110000
3122201202002110000
433022203102300
51010113033430
641125110000
76206366430
oct1712432260
9581662400
10254424240
11120685774
1271258300
13409313b5
1425b0c2c0
1517509e60
hexf2a34b0

254424240 has 400 divisors, whose sum is σ = 1037076480. Its totient is φ = 56609280.

The previous prime is 254424187. The next prime is 254424251. The reversal of 254424240 is 42424452.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3220521 + ... + 3220599.

Almost surely, 2254424240 is an apocalyptic number.

254424240 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 254424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518538240).

254424240 is an abundant number, since it is smaller than the sum of its proper divisors (782652240).

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

254424240 is a wasteful number, since it uses less digits than its factorization.

254424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 254424240 is about 15950.6814901433. The cubic root of 254424240 is about 633.6549453039.

Adding to 254424240 its reverse (42424452), we get a palindrome (296848692).

The spelling of 254424240 in words is "two hundred fifty-four million, four hundred twenty-four thousand, two hundred forty".