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2313006234 = 2371123712301
BaseRepresentation
bin1000100111011101…
…1010110010011010
312222012022220001120
42021313122302122
514214112144414
61021303430110
7111214141260
oct21167326232
95865286046
102313006234
11a876a4900
12546755336
132ab27a156
1417d296430
15d80e02a9
hex89ddac9a

2313006234 has 96 divisors (see below), whose sum is σ = 5968733568. Its totient is φ = 584496000.

The previous prime is 2313006203. The next prime is 2313006239. The reversal of 2313006234 is 4326003132.

It is not an unprimeable number, because it can be changed into a prime (2313006239) 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 47 ways as a sum of consecutive naturals, for example, 181884 + ... + 194184.

It is an arithmetic number, because the mean of its divisors is an integer number (62174308).

Almost surely, 22313006234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313006234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984366784).

2313006234 is an abundant number, since it is smaller than the sum of its proper divisors (3655727334).

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

2313006234 is a wasteful number, since it uses less digits than its factorization.

2313006234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372 (or 12361 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 2313006234 is about 48093.7234366398. The cubic root of 2313006234 is about 1322.4896070405.

Adding to 2313006234 its reverse (4326003132), we get a palindrome (6639009366).

The spelling of 2313006234 in words is "two billion, three hundred thirteen million, six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 121 154 222 231 242 259 363 407 462 518 726 777 814 847 1221 1554 1694 2442 2541 2849 4477 5082 5698 8547 8954 12301 13431 17094 24602 26862 31339 36903 62678 73806 86107 94017 135311 172214 188034 258321 270622 405933 455137 516642 811866 910274 947177 1365411 1488421 1894354 2730822 2841531 2976842 3185959 4465263 5006507 5683062 6371918 8930526 9557877 10013014 10418947 15019521 19115754 20837894 30039042 31256841 35045549 55071577 62513682 70091098 105136647 110143154 165214731 210273294 330429462 385501039 771002078 1156503117 2313006234