Search a number
-
+
4323152340 = 22325134145061
BaseRepresentation
bin1000000011010111…
…00001000111010100
3102011021202220010100
410001223201013110
532323211333330
61552552054100
7212063121453
oct40153410724
912137686110
104323152340
111919341381
12a07994330
1353b867710
142d0232b9a
151a4809060
hex101ae11d4

4323152340 has 144 divisors (see below), whose sum is σ = 14467064976. Its totient is φ = 1038182400.

The previous prime is 4323152333. The next prime is 4323152363. The reversal of 4323152340 is 432513234.

4323152340 is a `hidden beast` number, since 4 + 3 + 2 + 315 + 2 + 340 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 382828356 + 3940323984 = 19566^2 + 62772^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 73410 + ... + 118470.

It is an arithmetic number, because the mean of its divisors is an integer number (100465729).

Almost surely, 24323152340 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 4323152340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233532488).

4323152340 is an abundant number, since it is smaller than the sum of its proper divisors (10143912636).

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

4323152340 is a wasteful number, since it uses less digits than its factorization.

4323152340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45130 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4323152340 is about 65750.6831903669. The cubic root of 4323152340 is about 1629.0466202698.

Adding to 4323152340 its reverse (432513234), we get a palindrome (4755665574).

The spelling of 4323152340 in words is "four billion, three hundred twenty-three million, one hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3690 4797 5330 6396 7380 7995 9594 10660 15990 19188 23985 31980 45061 47970 90122 95940 135183 180244 225305 270366 405549 450610 540732 585793 675915 811098 901220 1171586 1351830 1622196 1757379 1847501 2027745 2343172 2703660 2928965 3514758 3695002 4055490 5272137 5542503 5857930 7029516 7390004 8110980 8786895 9237505 10544274 11085006 11715860 16627509 17573790 18475010 21088548 22170012 24017513 26360685 27712515 33255018 35147580 36950020 48035026 52721370 55425030 66510036 72052539 83137545 96070052 105442740 110850060 120087565 144105078 166275090 216157617 240175130 288210156 332550180 360262695 432315234 480350260 720525390 864630468 1080788085 1441050780 2161576170 4323152340