Search a number
-
+
2323146364 = 2271179307311
BaseRepresentation
bin1000101001111000…
…0110011001111100
312222220102001200221
42022132012121330
514224211140424
61022305031124
7111366263320
oct21236063174
95886361627
102323146364
11a923a0280
1254a0254a4
132b03ba726
14180775980
15d8e449e4
hex8a78667c

2323146364 has 96 divisors (see below), whose sum is σ = 5166120960. Its totient is φ = 887889600.

The previous prime is 2323146347. The next prime is 2323146367. The reversal of 2323146364 is 4636413232.

2323146364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×23231463643 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323146367) 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, 7469769 + ... + 7470079.

It is an arithmetic number, because the mean of its divisors is an integer number (53813760).

Almost surely, 22323146364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323146364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583060480).

2323146364 is an abundant number, since it is smaller than the sum of its proper divisors (2842974596).

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

2323146364 is a wasteful number, since it uses less digits than its factorization.

2323146364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its digits is 62208, while the sum is 34.

The square root of 2323146364 is about 48199.0286624119. The cubic root of 2323146364 is about 1324.4193708989.

Adding to 2323146364 its reverse (4636413232), we get a palindrome (6959559596).

The spelling of 2323146364 in words is "two billion, three hundred twenty-three million, one hundred forty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 79 154 158 307 308 311 316 553 614 622 869 1106 1228 1244 1738 2149 2177 2212 3377 3421 3476 4298 4354 6083 6754 6842 8596 8708 12166 13508 13684 23639 23947 24253 24332 24569 47278 47894 48506 49138 94556 95477 95788 97012 98276 169771 171983 190954 266783 270259 339542 343966 381908 533566 540518 668339 679084 687932 1050247 1067132 1081036 1336678 1867481 1891813 2100494 2673356 3734962 3783626 4200988 7351729 7469924 7542683 7567252 14703458 15085366 29406916 30170732 52798781 82969513 105597562 165939026 211195124 331878052 580786591 1161573182 2323146364