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2323152306 = 2331719235791
BaseRepresentation
bin1000101001111000…
…0111110110110010
312222220102100212000
42022132013312302
514224211333211
61022305114430
7111366316536
oct21236076662
95886370760
102323152306
11a923a4792
1254a028a16
132b03c0347
14180777bc6
15d8e46656
hex8a787db2

2323152306 has 128 divisors (see below), whose sum is σ = 6005145600. Its totient is φ = 660337920.

The previous prime is 2323152281. The next prime is 2323152319. The reversal of 2323152306 is 6032513232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2323152306.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 398271 + ... + 404061.

It is an arithmetic number, because the mean of its divisors is an integer number (46915200).

Almost surely, 22323152306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323152306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002572800).

2323152306 is an abundant number, since it is smaller than the sum of its proper divisors (3681993294).

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

2323152306 is a wasteful number, since it uses less digits than its factorization.

2323152306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2323152306 is about 48199.0903026188. The cubic root of 2323152306 is about 1324.4205000706.

Adding to 2323152306 its reverse (6032513232), we get a palindrome (8355665538).

The spelling of 2323152306 in words is "two billion, three hundred twenty-three million, one hundred fifty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 19 23 27 34 38 46 51 54 57 69 102 114 138 153 171 207 306 323 342 391 414 437 459 513 621 646 782 874 918 969 1026 1173 1242 1311 1938 2346 2622 2907 3519 3933 5791 5814 7038 7429 7866 8721 10557 11582 11799 14858 17373 17442 21114 22287 23598 34746 44574 52119 66861 98447 104238 110029 133193 133722 156357 196894 200583 220058 266386 295341 312714 330087 399579 401166 590682 660174 799158 886023 990261 1198737 1772046 1870493 1980522 2264281 2397474 2530667 2658069 2970783 3596211 3740986 4528562 5061334 5316138 5611479 5941566 6792843 7192422 7592001 11222958 13585686 15184002 16834437 20378529 22776003 33668874 40757058 43021339 45552006 50503311 61135587 68328009 86042678 101006622 122271174 129064017 136656018 258128034 387192051 774384102 1161576153 2323152306