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244164360 = 2335111091697
BaseRepresentation
bin11101000110110…
…10011100001000
3122000102211112110
432203122130020
51000001224420
640121142320
76023235306
oct1643323410
9560384473
10244164360
11115908330
126992a9a0
133b77b46b
14245db276
151667eee0
hexe8da708

244164360 has 128 divisors (see below), whose sum is σ = 806889600. Its totient is φ = 58613760.

The previous prime is 244164329. The next prime is 244164367. The reversal of 244164360 is 63461442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (244164367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143032 + ... + 144728.

It is an arithmetic number, because the mean of its divisors is an integer number (6303825).

Almost surely, 2244164360 is an apocalyptic number.

244164360 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 244164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403444800).

244164360 is an abundant number, since it is smaller than the sum of its proper divisors (562725240).

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

244164360 is a wasteful number, since it uses less digits than its factorization.

244164360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 244164360 is about 15625.7595015410. The cubic root of 244164360 is about 625.0202532104.

The spelling of 244164360 in words is "two hundred forty-four million, one hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 327 330 436 440 545 654 660 872 1090 1199 1308 1320 1635 1697 2180 2398 2616 3270 3394 3597 4360 4796 5091 5995 6540 6788 7194 8485 9592 10182 11990 13080 13576 14388 16970 17985 18667 20364 23980 25455 28776 33940 35970 37334 40728 47960 50910 56001 67880 71940 74668 93335 101820 112002 143880 149336 184973 186670 203640 224004 280005 369946 373340 448008 554919 560010 739892 746680 924865 1109838 1120020 1479784 1849730 2034703 2219676 2240040 2774595 3699460 4069406 4439352 5549190 6104109 7398920 8138812 10173515 11098380 12208218 16277624 20347030 22196760 24416436 30520545 40694060 48832872 61041090 81388120 122082180 244164360