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2323124034 = 2371119383691
BaseRepresentation
bin1000101001111000…
…0000111101000010
312222220100221001220
42022132000331002
514224204432114
61022304335510
7111366141240
oct21236007502
95886327056
102323124034
11a92385520
1254a014596
132b03b050a
1418076b790
15d8e3d0a9
hex8a780f42

2323124034 has 128 divisors (see below), whose sum is σ = 6122373120. Its totient is φ = 569332800.

The previous prime is 2323124033. The next prime is 2323124071. The reversal of 2323124034 is 4304213232.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2323123995 and 2323124013.

It is not an unprimeable number, because it can be changed into a prime (2323124033) 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 63 ways as a sum of consecutive naturals, for example, 3361629 + ... + 3362319.

It is an arithmetic number, because the mean of its divisors is an integer number (47831040).

Almost surely, 22323124034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323124034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061186560).

2323124034 is an abundant number, since it is smaller than the sum of its proper divisors (3799249086).

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

2323124034 is a wasteful number, since it uses less digits than its factorization.

2323124034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2323124034 is about 48198.7970181829. The cubic root of 2323124034 is about 1324.4151274614.

Adding to 2323124034 its reverse (4304213232), we get a palindrome (6627337266).

The spelling of 2323124034 in words is "two billion, three hundred twenty-three million, one hundred twenty-four thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 383 399 418 462 627 691 766 798 1149 1254 1382 1463 2073 2298 2681 2926 4146 4213 4389 4837 5362 7277 7601 8043 8426 8778 9674 12639 13129 14511 14554 15202 16086 21831 22803 25278 26258 29022 29491 39387 43662 45606 50939 53207 58982 78774 80047 88473 91903 101878 106414 144419 152817 159621 160094 176946 183806 240141 264653 275709 288838 305634 319242 433257 480282 529306 551418 560329 793959 866514 1010933 1120658 1587918 1680987 1852571 2021866 2911183 3032799 3361974 3705142 5028407 5557713 5822366 6065598 8733549 10056814 11115426 15085221 17467098 20378281 30170442 35198849 40756562 55312477 61134843 70397698 105596547 110624954 122269686 165937431 211193094 331874862 387187339 774374678 1161562017 2323124034