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242320343320 = 2351119101286987
BaseRepresentation
bin1110000110101101101…
…0110000000100011000
3212011110201110212122101
43201223122300010120
512432233001441240
6303153113533144
723335631635066
oct3415332600430
9764421425571
10242320343320
1193849575550
123ab687141b4
1319b0a01a343
14ba2a8d5036
1564839ea39a
hex386b6b0118

242320343320 has 128 divisors (see below), whose sum is σ = 632291961600. Its totient is φ = 82651968000.

The previous prime is 242320343249. The next prime is 242320343351. The reversal of 242320343320 is 23343023242.

It is a congruent number.

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, 700867 + ... + 987853.

It is an arithmetic number, because the mean of its divisors is an integer number (4939780950).

Almost surely, 2242320343320 is an apocalyptic number.

242320343320 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 242320343320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316145980800).

242320343320 is an abundant number, since it is smaller than the sum of its proper divisors (389971618280).

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

242320343320 is a wasteful number, since it uses less digits than its factorization.

242320343320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287129 (or 287125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 242320343320 its reverse (23343023242), we get a palindrome (265663366562).

The spelling of 242320343320 in words is "two hundred forty-two billion, three hundred twenty million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 101 110 152 190 202 209 220 380 404 418 440 505 760 808 836 1010 1045 1111 1672 1919 2020 2090 2222 3838 4040 4180 4444 5555 7676 8360 8888 9595 11110 15352 19190 21109 22220 38380 42218 44440 76760 84436 105545 168872 211090 286987 422180 573974 844360 1147948 1434935 2295896 2869870 3156857 5452753 5739740 6313714 10905506 11479480 12627428 15784285 21811012 25254856 27263765 28985687 31568570 43622024 54527530 57971374 59980283 63137140 109055060 115942748 119960566 126274280 144928435 218110120 231885496 239921132 289856870 299901415 318842557 479842264 550728053 579713740 599802830 637685114 1101456106 1159427480 1199605660 1275370228 1594212785 2202912212 2399211320 2550740456 2753640265 3188425570 4405824424 5507280530 6058008583 6376851140 11014561060 12116017166 12753702280 22029122120 24232034332 30290042915 48464068664 60580085830 121160171660 242320343320