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244935080 = 235132191907
BaseRepresentation
bin11101001100101…
…10100110101000
3122001212222202122
432212112212220
51000200410310
640145450412
76032625305
oct1646264650
9561788678
10244935080
11116294395
126a040a08
133b98b200
142475c0ac
1516783555
hexe9969a8

244935080 has 96 divisors (see below), whose sum is σ = 628495200. Its totient is φ = 85632768.

The previous prime is 244935077. The next prime is 244935109. The reversal of 244935080 is 80539442.

244935080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 244935080.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127487 + ... + 129393.

It is an arithmetic number, because the mean of its divisors is an integer number (6546825).

Almost surely, 2244935080 is an apocalyptic number.

244935080 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 244935080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314247600).

244935080 is an abundant number, since it is smaller than the sum of its proper divisors (383560120).

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

244935080 is a wasteful number, since it uses less digits than its factorization.

244935080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 244935080 is about 15650.4019117721. The cubic root of 244935080 is about 625.6772009066.

The spelling of 244935080 in words is "two hundred forty-four million, nine hundred thirty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 380 494 520 676 760 845 988 1235 1352 1690 1907 1976 2470 3211 3380 3814 4940 6422 6760 7628 9535 9880 12844 15256 16055 19070 24791 25688 32110 36233 38140 49582 64220 72466 76280 99164 123955 128440 144932 181165 198328 247910 289864 322283 362330 471029 495820 644566 724660 942058 991640 1289132 1449320 1611415 1884116 2355145 2578264 3222830 3768232 4710290 6123377 6445660 9420580 12246754 12891320 18841160 24493508 30616885 48987016 61233770 122467540 244935080