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2340824136 = 2337312631709
BaseRepresentation
bin1000101110000110…
…0010010001001000
320001010200012001020
42023201202101020
514243222333021
61024135552440
7112002451110
oct21341422110
96033605036
102340824136
11aa1374902
12553b2b720
132b3c69b51
14182c58040
15da7877c6
hex8b862448

2340824136 has 128 divisors (see below), whose sum is σ = 6934118400. Its totient is φ = 644394240.

The previous prime is 2340824131. The next prime is 2340824141. The reversal of 2340824136 is 6314280432.

It is an interprime number because it is at equal distance from previous prime (2340824131) and next prime (2340824141).

It is a junction number, because it is equal to n+sod(n) for n = 2340824097 and 2340824106.

It is not an unprimeable number, because it can be changed into a prime (2340824131) 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 31 ways as a sum of consecutive naturals, for example, 1368850 + ... + 1370558.

It is an arithmetic number, because the mean of its divisors is an integer number (54172800).

Almost surely, 22340824136 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 2340824136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467059200).

2340824136 is an abundant number, since it is smaller than the sum of its proper divisors (4593294264).

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

2340824136 is a wasteful number, since it uses less digits than its factorization.

2340824136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2340824136 is about 48382.0641973862. The cubic root of 2340824136 is about 1327.7702356282.

The spelling of 2340824136 in words is "two billion, three hundred forty million, eight hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 263 372 434 526 651 744 789 868 1052 1302 1578 1709 1736 1841 2104 2604 3156 3418 3682 5127 5208 5523 6312 6836 7364 8153 10254 11046 11963 13672 14728 16306 20508 22092 23926 24459 32612 35889 41016 44184 47852 48918 52979 57071 65224 71778 95704 97836 105958 114142 143556 158937 171213 195672 211916 228284 287112 317874 342426 370853 423832 449467 456568 635748 684852 741706 898934 1112559 1271496 1348401 1369704 1483412 1797868 2225118 2696802 2966824 3146269 3595736 4450236 5393604 6292538 8900472 9438807 10787208 12585076 13933477 18877614 25170152 27866954 37755228 41800431 55733908 75510456 83600862 97534339 111467816 167201724 195068678 292603017 334403448 390137356 585206034 780274712 1170412068 2340824136