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4323120240 = 243543509823
BaseRepresentation
bin1000000011010110…
…11001010001110000
3102011021201021002110
410001223121101300
532323204321430
61552551245320
7212062626045
oct40153312160
912137637073
104323120240
11191931a24a
12a07979840
1353b855c1a
142d02251cc
151a47ee7b0
hex101ad9470

4323120240 has 160 divisors (see below), whose sum is σ = 13756976640. Its totient is φ = 1122444288.

The previous prime is 4323120233. The next prime is 4323120253. The reversal of 4323120240 is 420213234.

It is a congruent number.

It is an unprimeable number.

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, 5252469 + ... + 5253291.

It is an arithmetic number, because the mean of its divisors is an integer number (85981104).

Almost surely, 24323120240 is an apocalyptic number.

4323120240 is a gapful number since it is divisible by the number (40) 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 4323120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878488320).

4323120240 is an abundant number, since it is smaller than the sum of its proper divisors (9433856400).

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

4323120240 is a wasteful number, since it uses less digits than its factorization.

4323120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4323120240 is about 65750.4390859863. The cubic root of 4323120240 is about 1629.0425882949.

Adding to 4323120240 its reverse (420213234), we get a palindrome (4743333474).

The spelling of 4323120240 in words is "four billion, three hundred twenty-three million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 509 516 645 688 823 860 1018 1032 1290 1527 1646 1720 2036 2064 2469 2545 2580 3054 3292 3440 4072 4115 4938 5090 5160 6108 6584 7635 8144 8230 9876 10180 10320 12216 12345 13168 15270 16460 19752 20360 21887 24432 24690 30540 32920 35389 39504 40720 43774 49380 61080 65661 65840 70778 87548 98760 106167 109435 122160 131322 141556 175096 176945 197520 212334 218870 262644 283112 328305 350192 353890 418907 424668 437740 525288 530835 566224 656610 707780 837814 849336 875480 1050576 1061670 1256721 1313220 1415560 1675628 1698672 1750960 2094535 2123340 2513442 2626440 2831120 3351256 4189070 4246680 5026884 5252880 6283605 6702512 8378140 8493360 10053768 12567210 16756280 18013001 20107536 25134420 33512560 36026002 50268840 54039003 72052004 90065005 100537680 108078006 144104008 180130010 216156012 270195015 288208016 360260020 432312024 540390030 720520040 864624048 1080780060 1441040080 2161560120 4323120240