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244673268 = 22372439677
BaseRepresentation
bin11101001010101…
…10101011110100
3122001101200121220
432211112223310
51000114021033
640140110340
76030455100
oct1645265364
9561350556
10244673268
11116125714
1269b353b0
133b8c8ca8
14246d0900
1516730bb3
hexe956af4

244673268 has 72 divisors (see below), whose sum is σ = 679627872. Its totient is φ = 68273856.

The previous prime is 244673263. The next prime is 244673291. The reversal of 244673268 is 862376442.

244673268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244673263) 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, 20446 + ... + 30122.

It is an arithmetic number, because the mean of its divisors is an integer number (9439276).

Almost surely, 2244673268 is an apocalyptic number.

244673268 is a gapful number since it is divisible by the number (28) 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 244673268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339813936).

244673268 is an abundant number, since it is smaller than the sum of its proper divisors (434954604).

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

244673268 is a wasteful number, since it uses less digits than its factorization.

244673268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9732 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 244673268 is about 15642.0352895651. The cubic root of 244673268 is about 625.4541918823.

The spelling of 244673268 in words is "two hundred forty-four million, six hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 8428 9677 12642 19354 25284 29031 38708 58062 67739 116124 135478 203217 270956 406434 416111 474173 812868 832222 948346 1248333 1422519 1664444 1896692 2496666 2845038 2912777 4993332 5690076 5825554 8738331 11651108 17476662 20389439 34953324 40778878 61168317 81557756 122336634 244673268