Search a number
-
+
244388640 = 253519127211
BaseRepresentation
bin11101001000100…
…01001100100000
3122000212020012010
432210101030200
51000030414030
640130032520
76025161216
oct1644211440
9560766163
10244388640
11115a50891
1269a18740
133b829582
1424658cb6
15166c66b0
hexe911320

244388640 has 192 divisors, whose sum is σ = 820592640. Its totient is φ = 60963840.

The previous prime is 244388611. The next prime is 244388647. The reversal of 244388640 is 46883442.

It is a super-2 number, since 2×2443886402 = 119451614722099200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244388647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158135 + ... + 1158345.

It is an arithmetic number, because the mean of its divisors is an integer number (4273920).

Almost surely, 2244388640 is an apocalyptic number.

244388640 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 244388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410296320).

244388640 is an abundant number, since it is smaller than the sum of its proper divisors (576204000).

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

244388640 is a wasteful number, since it uses less digits than its factorization.

244388640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 244388640 is about 15632.9344654163. The cubic root of 244388640 is about 625.2115678411.

The spelling of 244388640 in words is "two hundred forty-four million, three hundred eighty-eight thousand, six hundred forty".