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2343244120 = 235731499541
BaseRepresentation
bin1000101110101011…
…0001000101011000
320001022020010122021
42023222301011120
514244332302440
61024303504224
7112032150340
oct21352610530
96038203567
102343244120
11aa2777a98
125548b8074
132b46064a9
141832c7d20
15daab484a
hex8bab1158

2343244120 has 128 divisors (see below), whose sum is σ = 6243840000. Its totient is φ = 774489600.

The previous prime is 2343244093. The next prime is 2343244121. The reversal of 2343244120 is 214423432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343244121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4331050 + ... + 4331590.

It is an arithmetic number, because the mean of its divisors is an integer number (48780000).

Almost surely, 22343244120 is an apocalyptic number.

2343244120 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 2343244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121920000).

2343244120 is an abundant number, since it is smaller than the sum of its proper divisors (3900595880).

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

2343244120 is a wasteful number, since it uses less digits than its factorization.

2343244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2343244120 is about 48407.0668394605. The cubic root of 2343244120 is about 1328.2276352296.

Adding to 2343244120 its reverse (214423432), we get a palindrome (2557667552).

The spelling of 2343244120 in words is "two billion, three hundred forty-three million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 499 541 620 868 998 1082 1085 1240 1736 1996 2164 2170 2495 2705 3493 3787 3992 4328 4340 4990 5410 6986 7574 8680 9980 10820 13972 15148 15469 16771 17465 18935 19960 21640 27944 30296 30938 33542 34930 37870 61876 67084 69860 75740 77345 83855 108283 117397 123752 134168 139720 151480 154690 167710 216566 234794 269959 309380 335420 433132 469588 539918 541415 586985 618760 670840 866264 939176 1079836 1082830 1173970 1349795 1889713 2159672 2165660 2347940 2699590 3779426 4331320 4695880 5399180 7558852 8368729 9448565 10798360 15117704 16737458 18897130 33474916 37794260 41843645 58581103 66949832 75588520 83687290 117162206 167374580 234324412 292905515 334749160 468648824 585811030 1171622060 2343244120