Search a number
-
+
23234340030 = 23511795631583
BaseRepresentation
bin10101101000110111…
…111110010010111110
32012222020111202200020
4111220313332102332
5340040442340110
614401304313010
71451524426446
oct255067762276
965866452606
1023234340030
1199431a7610
124605172766
1322637aa9c5
1411a5a8d126
1590eb9dd70
hex568dfe4be

23234340030 has 128 divisors (see below), whose sum is σ = 61750149120. Its totient is φ = 5547884160.

The previous prime is 23234340013. The next prime is 23234340037. The reversal of 23234340030 is 3004343232.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23234340037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14676619 + ... + 14678201.

It is an arithmetic number, because the mean of its divisors is an integer number (482423040).

Almost surely, 223234340030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23234340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30875074560).

23234340030 is an abundant number, since it is smaller than the sum of its proper divisors (38515809090).

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

23234340030 is a wasteful number, since it uses less digits than its factorization.

23234340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23234340030 its reverse (3004343232), we get a palindrome (26238683262).

The spelling of 23234340030 in words is "twenty-three billion, two hundred thirty-four million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 563 790 869 1126 1185 1583 1689 1738 2370 2607 2815 3166 3378 4345 4749 5214 5630 6193 7915 8445 8690 9498 12386 13035 15830 16890 17413 18579 23745 26070 30965 34826 37158 44477 47490 52239 61930 87065 88954 92895 104478 125057 133431 174130 185790 222385 250114 261195 266862 375171 444770 489247 522390 625285 667155 750342 891229 978494 1250570 1334310 1375627 1467741 1782458 1875855 2446235 2673687 2751254 2935482 3751710 4126881 4456145 4892470 5347374 6878135 7338705 8253762 8912290 9803519 13368435 13756270 14677410 19607038 20634405 26736870 29410557 41268810 49017595 58821114 70407091 98035190 140814182 147052785 211221273 294105570 352035455 422442546 704070910 774478001 1056106365 1548956002 2112212730 2323434003 3872390005 4646868006 7744780010 11617170015 23234340030