Search a number
-
+
23343143310 = 23251919171471
BaseRepresentation
bin10101101111010111…
…000001100110001110
32020020211020112201100
4111233113001212032
5340301321041220
614420152323530
71454315305254
oct255727014616
966224215640
1023343143310
119999661083
1246356a35a6
1322801b4446
1411b62d25d4
159194e1d90
hex56f5c198e

23343143310 has 96 divisors (see below), whose sum is σ = 64221880320. Its totient is φ = 5866257600.

The previous prime is 23343143293. The next prime is 23343143311. The reversal of 23343143310 is 1334134332.

23343143310 is a `hidden beast` number, since 2 + 3 + 34 + 314 + 3 + 310 = 666.

It is a super-2 number, since 2×233431433102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23343143311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290875 + ... + 362345.

It is an arithmetic number, because the mean of its divisors is an integer number (668977920).

Almost surely, 223343143310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23343143310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32110940160).

23343143310 is an abundant number, since it is smaller than the sum of its proper divisors (40878737010).

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

23343143310 is a wasteful number, since it uses less digits than its factorization.

23343143310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71694 (or 71691 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23343143310 its reverse (1334134332), we get a palindrome (24677277642).

The spelling of 23343143310 in words is "twenty-three billion, three hundred forty-three million, one hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 191 285 342 382 570 573 855 955 1146 1710 1719 1910 2865 3438 3629 5730 7258 8595 10887 17190 18145 21774 32661 36290 54435 65322 71471 108870 142942 163305 214413 326610 357355 428826 643239 714710 1072065 1286478 1357949 2144130 2715898 3216195 4073847 6432390 6789745 8147694 12221541 13579490 13650961 20369235 24443082 27301922 40738470 40952883 61107705 68254805 81905766 122215410 122858649 136509610 204764415 245717298 259368259 409528830 518736518 614293245 778104777 1228586490 1296841295 1556209554 2334314331 2593682590 3890523885 4668628662 7781047770 11671571655 23343143310