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244404240 = 243517371619
BaseRepresentation
bin11101001000101…
…01000000010000
3122000220000120220
432210111000100
51000031413430
640130233040
76025254543
oct1644250020
9560800526
10244404240
11115a61583
1269a25780
133b8336c2
142466085a
15166cb110
hexe915010

244404240 has 160 divisors (see below), whose sum is σ = 824411520. Its totient is φ = 59645952.

The previous prime is 244404229. The next prime is 244404283. The reversal of 244404240 is 42404442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 244404240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150151 + ... + 151769.

It is an arithmetic number, because the mean of its divisors is an integer number (5152572).

Almost surely, 2244404240 is an apocalyptic number.

244404240 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 244404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412205760).

244404240 is an abundant number, since it is smaller than the sum of its proper divisors (580007280).

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

244404240 is a wasteful number, since it uses less digits than its factorization.

244404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 244404240 is about 15633.4334040863. The cubic root of 244404240 is about 625.2248705501.

Adding to 244404240 its reverse (42404442), we get a palindrome (286808682).

It can be divided in two parts, 24440 and 4240, that added together give a triangular number (28680 = T239).

The spelling of 244404240 in words is "two hundred forty-four million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 629 680 740 816 888 1020 1110 1258 1360 1480 1619 1776 1887 2040 2220 2516 2960 3145 3238 3774 4080 4440 4857 5032 6290 6476 7548 8095 8880 9435 9714 10064 12580 12952 15096 16190 18870 19428 24285 25160 25904 27523 30192 32380 37740 38856 48570 50320 55046 59903 64760 75480 77712 82569 97140 110092 119806 129520 137615 150960 165138 179709 194280 220184 239612 275230 299515 330276 359418 388560 412845 440368 479224 550460 599030 660552 718836 825690 898545 958448 1018351 1100920 1198060 1321104 1437672 1651380 1797090 2036702 2201840 2396120 2875344 3055053 3302760 3594180 4073404 4792240 5091755 6110106 6605520 7188360 8146808 10183510 12220212 14376720 15275265 16293616 20367020 24440424 30550530 40734040 48880848 61101060 81468080 122202120 244404240