Search a number
-
+
244665840 = 24353133257
BaseRepresentation
bin11101001010101…
…00110111110000
3122001101022102210
432211110313300
51000113301330
640140012120
76030424326
oct1645246760
9561338383
10244665840
11116120081
1269b31040
133b8c57b3
14246cbd16
151672d8b0
hexe954df0

244665840 has 80 divisors (see below), whose sum is σ = 761120928. Its totient is φ = 65015808.

The previous prime is 244665781. The next prime is 244665847. The reversal of 244665840 is 48566442.

244665840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2446658402 = 119722746525811200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244665847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73492 + ... + 76748.

Almost surely, 2244665840 is an apocalyptic number.

244665840 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 244665840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380560464).

244665840 is an abundant number, since it is smaller than the sum of its proper divisors (516455088).

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

244665840 is a wasteful number, since it uses less digits than its factorization.

244665840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 244665840 is about 15641.7978506309. The cubic root of 244665840 is about 625.4478624608.

It can be divided in two parts, 2446 and 65840, that added together give a palindrome (68286).

The spelling of 244665840 in words is "two hundred forty-four million, six hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3257 3756 4695 5008 6260 6514 7512 9390 9771 12520 13028 15024 16285 18780 19542 25040 26056 32570 37560 39084 48855 52112 65140 75120 78168 97710 130280 156336 195420 260560 390840 781680 1019441 2038882 3058323 4077764 5097205 6116646 8155528 10194410 12233292 15291615 16311056 20388820 24466584 30583230 40777640 48933168 61166460 81555280 122332920 244665840