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2314352052 = 2232179973793
BaseRepresentation
bin1000100111110010…
…0011010110110100
312222021212021011200
42021330203112310
514214433231202
61021352332500
7111231445035
oct21174432664
95867767150
102314352052
11a88433a51
125470a4130
132ab62b8ac
1417d526a8c
15d82a8e1c
hex89f235b4

2314352052 has 72 divisors (see below), whose sum is σ = 6202142856. Its totient is φ = 725151744.

The previous prime is 2314352021. The next prime is 2314352071. The reversal of 2314352052 is 2502534132.

It is a happy number.

2314352052 is a `hidden beast` number, since 23 + 1 + 435 + 205 + 2 = 666.

2314352052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 672157476 + 1642194576 = 25926^2 + 40524^2 .

It is a super-2 number, since 2×23143520522 = 10712450841193221408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608268 + ... + 612060.

It is an arithmetic number, because the mean of its divisors is an integer number (86140873).

Almost surely, 22314352052 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 2314352052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101071428).

2314352052 is an abundant number, since it is smaller than the sum of its proper divisors (3887790804).

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

2314352052 is a wasteful number, since it uses less digits than its factorization.

2314352052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2314352052 is about 48107.7130198475. The cubic root of 2314352052 is about 1322.7460532772.

Adding to 2314352052 its reverse (2502534132), we get a palindrome (4816886184).

The spelling of 2314352052 in words is "two billion, three hundred fourteen million, three hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 997 1994 2991 3793 3988 5982 7586 8973 11379 11964 15172 16949 17946 22758 33898 34137 35892 45516 50847 64481 67796 68274 101694 128962 136548 152541 193443 203388 257924 305082 386886 580329 610164 773772 1160658 2321316 3781621 7563242 11344863 15126484 22689726 34034589 45379452 64287557 68069178 128575114 136138356 192862671 257150228 385725342 578588013 771450684 1157176026 2314352052