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2340134412 = 2237113768449
BaseRepresentation
bin1000101101111011…
…1001111000001100
320001002101010220220
42023132321320030
514243033300122
61024113111340
7111663546210
oct21336717014
96032333826
102340134412
11aa0a43690
12553858550
132b3a87c25
14182b18940
15da69d25c
hex8b7b9e0c

2340134412 has 96 divisors (see below), whose sum is σ = 6991756800. Its totient is φ = 591390720.

The previous prime is 2340134383. The next prime is 2340134437. The reversal of 2340134412 is 2144310432.

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 31 ways as a sum of consecutive naturals, for example, 37 + ... + 68412.

It is an arithmetic number, because the mean of its divisors is an integer number (72830800).

Almost surely, 22340134412 is an apocalyptic number.

2340134412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340134412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495878400).

2340134412 is an abundant number, since it is smaller than the sum of its proper divisors (4651622388).

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

2340134412 is a wasteful number, since it uses less digits than its factorization.

2340134412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68511 (or 68509 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2340134412 is about 48374.9357829031. The cubic root of 2340134412 is about 1327.6398136192.

Adding to 2340134412 its reverse (2144310432), we get a palindrome (4484444844).

The spelling of 2340134412 in words is "two billion, three hundred forty million, one hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 777 814 924 1036 1221 1554 1628 2442 2849 3108 4884 5698 8547 11396 17094 34188 68449 136898 205347 273796 410694 479143 752939 821388 958286 1437429 1505878 1916572 2258817 2532613 2874858 3011756 4517634 5065226 5270573 5749716 7597839 9035268 10130452 10541146 15195678 15811719 17728291 21082292 27858743 30391356 31623438 35456582 53184873 55717486 63246876 70913164 83576229 106369746 111434972 167152458 195011201 212739492 334304916 390022402 585033603 780044804 1170067206 2340134412