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2313043632 = 243228157163
BaseRepresentation
bin1000100111011110…
…0011111010110000
312222012101210100200
42021313203322300
514214114344012
61021304315200
7111214355304
oct21167437260
95865353320
102313043632
11a8771aa09
12546772b00
132ab291193
1417d2a5d04
15d80eb3dc
hex89de3eb0

2313043632 has 60 divisors (see below), whose sum is σ = 6496459944. Its totient is φ = 768257280.

The previous prime is 2313043597. The next prime is 2313043633. The reversal of 2313043632 is 2363403132.

It is a happy number.

2313043632 is a `hidden beast` number, since 23 + 1 + 3 + 0 + 4 + 3 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2313043596 and 2313043605.

It is not an unprimeable number, because it can be changed into a prime (2313043633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11883 + ... + 69045.

Almost surely, 22313043632 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 2313043632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248229972).

2313043632 is an abundant number, since it is smaller than the sum of its proper divisors (4183416312).

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

2313043632 is a wasteful number, since it uses less digits than its factorization.

2313043632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57458 (or 57449 counting only the distinct ones).

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

The square root of 2313043632 is about 48094.1122384019. The cubic root of 2313043632 is about 1322.4967345900.

Adding to 2313043632 its reverse (2363403132), we get a palindrome (4676446764).

The spelling of 2313043632 in words is "two billion, three hundred thirteen million, forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 57163 114326 171489 228652 342978 457304 514467 685956 914608 1028934 1371912 2057868 2743824 4115736 8231472 16062803 32125606 48188409 64251212 96376818 128502424 144565227 192753636 257004848 289130454 385507272 578260908 771014544 1156521816 2313043632