Search a number
-
+
2340014144 = 26138633259
BaseRepresentation
bin1000101101111001…
…1100100001000000
320001002011000221112
42023132130201000
514243020423034
61024110342452
7111662535446
oct21336344100
96032130845
102340014144
11aa0971296
125537baa28
132b3a45270
14182ac6b96
15da6777ce
hex8b79c840

2340014144 has 56 divisors (see below), whose sum is σ = 5007985920. Its totient is φ = 1078424064.

The previous prime is 2340014143. The next prime is 2340014167. The reversal of 2340014144 is 4414100432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2340014143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716387 + ... + 719645.

It is an arithmetic number, because the mean of its divisors is an integer number (89428320).

Almost surely, 22340014144 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 2340014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503992960).

2340014144 is an abundant number, since it is smaller than the sum of its proper divisors (2667971776).

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

2340014144 is a wasteful number, since it uses less digits than its factorization.

2340014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2340014144 is about 48373.6926851775. The cubic root of 2340014144 is about 1327.6170691535.

Adding to 2340014144 its reverse (4414100432), we get a palindrome (6754114576).

The spelling of 2340014144 in words is "two billion, three hundred forty million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 863 1726 3259 3452 6518 6904 11219 13036 13808 22438 26072 27616 42367 44876 52144 55232 84734 89752 104288 169468 179504 208576 338936 359008 677872 718016 1355744 2711488 2812517 5625034 11250068 22500136 36562721 45000272 73125442 90000544 146250884 180001088 292501768 585003536 1170007072 2340014144