Search a number
-
+
3194493460 = 2251723217761
BaseRepresentation
bin1011111001101000…
…0001101000010100
322020122000002012121
42332122001220110
523020242242320
61244553025324
7142106514004
oct27632015024
98218002177
103194493460
11139a232244
127519b5244
133bba91322
14224394004
1513a6b18aa
hexbe681a14

3194493460 has 72 divisors (see below), whose sum is σ = 7425723816. Its totient is φ = 1150279680.

The previous prime is 3194493373. The next prime is 3194493461. The reversal of 3194493460 is 643944913.

It can be written as a sum of positive squares in 4 ways, for example, as 473410564 + 2721082896 = 21758^2 + 52164^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3194493461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170980 + ... + 188740.

It is an arithmetic number, because the mean of its divisors is an integer number (103135053).

Almost surely, 23194493460 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 3194493460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712861908).

3194493460 is an abundant number, since it is smaller than the sum of its proper divisors (4231230356).

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

3194493460 is a wasteful number, since it uses less digits than its factorization.

3194493460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17833 (or 17808 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The square root of 3194493460 is about 56519.8501413441. The cubic root of 3194493460 is about 1472.7668530351.

The spelling of 3194493460 in words is "three billion, one hundred ninety-four million, four hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 529 782 1058 1564 1955 2116 2645 3910 5290 7820 8993 10580 17761 17986 35522 35972 44965 71044 88805 89930 177610 179860 301937 355220 408503 603874 817006 1207748 1509685 1634012 2042515 3019370 4085030 6038740 6944551 8170060 9395569 13889102 18791138 27778204 34722755 37582276 46977845 69445510 93955690 138891020 159724673 187911380 319449346 638898692 798623365 1597246730 3194493460