Search a number
-
+
2352445420 = 2251337923873
BaseRepresentation
bin1000110000110111…
…0111011111101100
320001221112121110011
42030031313133230
514304211223140
61025233023004
7112203312313
oct21415673754
96057477404
102352445420
11aa7992076
125579b4a64
132b64a8650
1418460127a
15db7d0cea
hex8c3777ec

2352445420 has 48 divisors (see below), whose sum is σ = 5334406560. Its totient is φ = 866267136.

The previous prime is 2352445379. The next prime is 2352445421. The reversal of 2352445420 is 245442532.

It is not an unprimeable number, because it can be changed into a prime (2352445421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86604 + ... + 110476.

It is an arithmetic number, because the mean of its divisors is an integer number (111133470).

Almost surely, 22352445420 is an apocalyptic number.

2352445420 is a gapful number since it is divisible by the number (20) 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 2352445420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667203280).

2352445420 is an abundant number, since it is smaller than the sum of its proper divisors (2981961140).

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

2352445420 is a wasteful number, since it uses less digits than its factorization.

2352445420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24274 (or 24272 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 31.

The square root of 2352445420 is about 48502.0145973340. The cubic root of 2352445420 is about 1329.9638974880.

Adding to 2352445420 its reverse (245442532), we get a palindrome (2597887952).

The spelling of 2352445420 in words is "two billion, three hundred fifty-two million, four hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 379 758 1516 1895 3790 4927 7580 9854 19708 23873 24635 47746 49270 95492 98540 119365 238730 310349 477460 620698 1241396 1551745 3103490 6206980 9047867 18095734 36191468 45239335 90478670 117622271 180957340 235244542 470489084 588111355 1176222710 2352445420