Search a number
-
+
34462073268 = 22337124936497
BaseRepresentation
bin100000000110000110…
…011000000110110100
310021221201110201012000
4200012012120012310
51031034242321033
623455345455300
72330000534550
oct400606300664
9107851421160
1034462073268
1113684a3a797
126819341530
13333294c93c
14194ccc0860
15d6a724a13
hex8061981b4

34462073268 has 96 divisors (see below), whose sum is σ = 102194400000. Its totient is φ = 9838153728.

The previous prime is 34462073249. The next prime is 34462073291. The reversal of 34462073268 is 86237026443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925996 + ... + 962492.

It is an arithmetic number, because the mean of its divisors is an integer number (1064525000).

Almost surely, 234462073268 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 34462073268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51097200000).

34462073268 is an abundant number, since it is smaller than the sum of its proper divisors (67732326732).

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

34462073268 is a wasteful number, since it uses less digits than its factorization.

34462073268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37766 (or 37758 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 34462073268 in words is "thirty-four billion, four hundred sixty-two million, seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1249 2498 3747 4996 7494 8743 11241 14988 17486 22482 26229 33723 34972 36497 44964 52458 67446 72994 78687 104916 109491 134892 145988 157374 218982 236061 255479 314748 328473 437964 472122 510958 656946 766437 944244 985419 1021916 1313892 1532874 1970838 2299311 3065748 3941676 4598622 6897933 9197244 13795866 27591732 45584753 91169506 136754259 182339012 273508518 319093271 410262777 547017036 638186542 820525554 957279813 1230788331 1276373084 1641051108 1914559626 2461576662 2871839439 3829119252 4923153324 5743678878 8615518317 11487357756 17231036634 34462073268