Search a number
-
+
4134343032 = 23348637393
BaseRepresentation
bin1111011001101101…
…0001000101111000
3101200010111101110000
43312123101011320
531431342434112
61522125153000
7204311223141
oct36633210570
911603441400
104134343032
111831802126
129746bb760
1350b6cac31
142b3124ac8
15192e607dc
hexf66d1178

4134343032 has 80 divisors (see below), whose sum is σ = 11594975040. Its totient is φ = 1376331264.

The previous prime is 4134343013. The next prime is 4134343043. The reversal of 4134343032 is 2303434314.

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

It is a junction number, because it is equal to n+sod(n) for n = 4134342987 and 4134343005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 555528 + ... + 562920.

It is an arithmetic number, because the mean of its divisors is an integer number (144937188).

Almost surely, 24134343032 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 4134343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797487520).

4134343032 is an abundant number, since it is smaller than the sum of its proper divisors (7460632008).

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

4134343032 is a wasteful number, since it uses less digits than its factorization.

4134343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8274 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 4134343032 is about 64298.8571593617. The cubic root of 4134343032 is about 1604.9770841343.

Adding to 4134343032 its reverse (2303434314), we get a palindrome (6437777346).

The spelling of 4134343032 in words is "four billion, one hundred thirty-four million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 863 1726 2589 3452 5178 6904 7393 7767 10356 14786 15534 20712 22179 23301 29572 31068 44358 46602 59144 62136 66537 69903 88716 93204 133074 139806 177432 186408 199611 266148 279612 399222 532296 559224 598833 798444 1197666 1596888 2395332 4790664 6380159 12760318 19140477 25520636 38280954 51041272 57421431 76561908 114842862 153123816 172264293 229685724 344528586 459371448 516792879 689057172 1033585758 1378114344 2067171516 4134343032