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2344113152 = 21029193409
BaseRepresentation
bin1000101110111000…
…0101010000000000
320001100212021201122
42023232011100000
514300043110102
61024334251412
7112042430063
oct21356052000
96040767648
102344113152
11aa32109a7
12555056b68
132b484bc04
141834728da
15dabd70a2
hex8bb85400

2344113152 has 88 divisors (see below), whose sum is σ = 4884551400. Its totient is φ = 1123024896.

The previous prime is 2344113139. The next prime is 2344113157. The reversal of 2344113152 is 2513114432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 565298176 + 1778814976 = 23776^2 + 42176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344113157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5731124 + ... + 5731532.

Almost surely, 22344113152 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 2344113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442275700).

2344113152 is an abundant number, since it is smaller than the sum of its proper divisors (2540438248).

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

2344113152 is a wasteful number, since it uses less digits than its factorization.

2344113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2344113152 is about 48416.0423000476. The cubic root of 2344113152 is about 1328.3918135503.

Adding to 2344113152 its reverse (2513114432), we get a palindrome (4857227584).

The spelling of 2344113152 in words is "two billion, three hundred forty-four million, one hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 193 232 256 386 409 464 512 772 818 928 1024 1544 1636 1856 3088 3272 3712 5597 6176 6544 7424 11194 11861 12352 13088 14848 22388 23722 24704 26176 29696 44776 47444 49408 52352 78937 89552 94888 98816 104704 157874 179104 189776 197632 209408 315748 358208 379552 418816 631496 716416 759104 1262992 1432832 1518208 2289173 2525984 2865664 3036416 4578346 5051968 5731328 6072832 9156692 10103936 12145664 18313384 20207872 36626768 40415744 73253536 80831488 146507072 293014144 586028288 1172056576 2344113152