Search a number
-
+
2343240414 = 23423237739
BaseRepresentation
bin1000101110101011…
…0000001011011110
320001022012221120000
42023222300023132
514244332143124
61024303435130
7112032133464
oct21352601336
96038187500
102343240414
11aa2775229
125548b5aa6
132b46048b8
141832c6834
15daab36c9
hex8bab02de

2343240414 has 120 divisors (see below), whose sum is σ = 5644780680. Its totient is φ = 725944032.

The previous prime is 2343240353. The next prime is 2343240443. The reversal of 2343240414 is 4140423432.

It is a happy number.

2343240414 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 240 + 414 = 666.

2343240414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3170457 + ... + 3171195.

It is an arithmetic number, because the mean of its divisors is an integer number (47039839).

Almost surely, 22343240414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343240414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822390340).

2343240414 is an abundant number, since it is smaller than the sum of its proper divisors (3301540266).

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

2343240414 is a wasteful number, since it uses less digits than its factorization.

2343240414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2343240414 is about 48407.0285599106. The cubic root of 2343240414 is about 1328.2269350017.

Adding to 2343240414 its reverse (4140423432), we get a palindrome (6483663846).

The spelling of 2343240414 in words is "two billion, three hundred forty-three million, two hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 81 111 138 162 207 222 333 414 529 621 666 739 851 999 1058 1242 1478 1587 1702 1863 1998 2217 2553 2997 3174 3726 4434 4761 5106 5994 6651 7659 9522 13302 14283 15318 16997 19573 19953 22977 27343 28566 33994 39146 39906 42849 45954 50991 54686 58719 59859 68931 82029 85698 101982 117438 119718 137862 152973 164058 176157 246087 305946 352314 390931 458919 492174 528471 628889 738261 781862 917838 1056942 1172793 1257778 1376757 1476522 1585413 1886667 2214783 2345586 2753514 3170826 3518379 3773334 4429566 5660001 7036758 10555137 11320002 14464447 16980003 21110274 28928894 31665411 33960006 43393341 50940009 63330822 86786682 101880018 130180023 260360046 390540069 781080138 1171620207 2343240414