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2302323240 = 2335719713913
BaseRepresentation
bin1000100100111010…
…1010101000101000
312221110020010202010
42021032222220220
514203343320430
61020242435520
7111024265440
oct21116525050
95843203663
102302323240
11a81668588
12543062ba0
132a8ca9759
1417bab5120
15d71cecb0
hex893aaa28

2302323240 has 128 divisors (see below), whose sum is σ = 7934319360. Its totient is φ = 523536384.

The previous prime is 2302323229. The next prime is 2302323251. The reversal of 2302323240 is 423232032.

It is an interprime number because it is at equal distance from previous prime (2302323229) and next prime (2302323251).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 158524 + ... + 172436.

It is an arithmetic number, because the mean of its divisors is an integer number (61986870).

Almost surely, 22302323240 is an apocalyptic number.

2302323240 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 2302323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967159680).

2302323240 is an abundant number, since it is smaller than the sum of its proper divisors (5631996120).

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

2302323240 is a wasteful number, since it uses less digits than its factorization.

2302323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14131 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 2302323240 is about 47982.5305710318. The cubic root of 2302323240 is about 1320.4504202078.

Adding to 2302323240 its reverse (423232032), we get a palindrome (2725555272).

The spelling of 2302323240 in words is "two billion, three hundred two million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 197 210 280 394 420 591 788 840 985 1182 1379 1576 1970 2364 2758 2955 3940 4137 4728 5516 5910 6895 7880 8274 11032 11820 13790 13913 16548 20685 23640 27580 27826 33096 41370 41739 55160 55652 69565 82740 83478 97391 111304 139130 165480 166956 194782 208695 278260 292173 333912 389564 417390 486955 556520 584346 779128 834780 973910 1168692 1460865 1669560 1947820 2337384 2740861 2921730 3895640 5481722 5843460 8222583 10963444 11686920 13704305 16445166 19186027 21926888 27408610 32890332 38372054 41112915 54817220 57558081 65780664 76744108 82225830 95930135 109634440 115116162 153488216 164451660 191860270 230232324 287790405 328903320 383720540 460464648 575580810 767441080 1151161620 2302323240