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244184940 = 2232517199401
BaseRepresentation
bin11101000110111…
…11011101101100
3122000110212202200
432203133131230
51000002404230
640121421500
76023352306
oct1643373554
9560425680
10244184940
1111592183a
126993a890
133b78793c
1424604976
1516686160
hexe8df76c

244184940 has 144 divisors (see below), whose sum is σ = 790171200. Its totient is φ = 60825600.

The previous prime is 244184911. The next prime is 244184953. The reversal of 244184940 is 49481442.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 244184895 and 244184904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608740 + ... + 609140.

It is an arithmetic number, because the mean of its divisors is an integer number (5487300).

Almost surely, 2244184940 is an apocalyptic number.

244184940 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 244184940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395085600).

244184940 is an abundant number, since it is smaller than the sum of its proper divisors (545986260).

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

244184940 is a wasteful number, since it uses less digits than its factorization.

244184940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 244184940 is about 15626.4180156554. The cubic root of 244184940 is about 625.0378131789.

The spelling of 244184940 in words is "two hundred forty-four million, one hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 199 204 255 306 340 398 401 510 597 612 765 796 802 995 1020 1194 1203 1530 1604 1791 1990 2005 2388 2406 2985 3060 3383 3582 3609 3980 4010 4812 5970 6015 6766 6817 7164 7218 8020 8955 10149 11940 12030 13532 13634 14436 16915 17910 18045 20298 20451 24060 27268 30447 33830 34085 35820 36090 40596 40902 50745 60894 61353 67660 68170 72180 79799 81804 101490 102255 121788 122706 136340 152235 159598 202980 204510 239397 245412 304470 306765 319196 398995 409020 478794 608940 613530 718191 797990 957588 1196985 1227060 1356583 1436382 1595980 2393970 2713166 2872764 3590955 4069749 4787940 5426332 6782915 7181910 8139498 12209247 13565830 14363820 16278996 20348745 24418494 27131660 40697490 48836988 61046235 81394980 122092470 244184940