Search a number
-
+
3173642442 = 2322373173607
BaseRepresentation
bin1011110100101001…
…1111000011001010
322012011202201222200
42331022133003022
522444423024232
61242530101030
7141434341605
oct27512370312
98164681880
103173642442
1113894905a3
12746a1a776
133b7670749
142216c733c
1513894377c
hexbd29f0ca

3173642442 has 96 divisors (see below), whose sum is σ = 7327577088. Its totient is φ = 990620928.

The previous prime is 3173642413. The next prime is 3173642443. The reversal of 3173642442 is 2442463713.

3173642442 is a `hidden beast` number, since 3 + 1 + 7 + 3 + 642 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3173642397 and 3173642406.

It is not an unprimeable number, because it can be changed into a prime (3173642443) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5228103 + ... + 5228709.

It is an arithmetic number, because the mean of its divisors is an integer number (76328928).

Almost surely, 23173642442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3173642442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3663788544).

3173642442 is an abundant number, since it is smaller than the sum of its proper divisors (4153934646).

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

3173642442 is a wasteful number, since it uses less digits than its factorization.

3173642442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3173642442 is about 56335.0906806761. The cubic root of 3173642442 is about 1469.5555202058. Note that the first 4 decimals are identical.

The spelling of 3173642442 in words is "three billion, one hundred seventy-three million, six hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 173 207 219 346 414 438 519 607 657 1038 1214 1314 1557 1679 1821 3114 3358 3642 3979 5037 5463 7958 10074 10926 11937 12629 13961 15111 23874 25258 27922 30222 35811 37887 41883 44311 71622 75774 83766 88622 105011 113661 125649 132933 210022 227322 251298 265866 290467 315033 398799 580934 630066 797598 871401 945099 1019153 1742802 1890198 2038306 2415253 2614203 3057459 4830506 5228406 6114918 7245759 7665803 9172377 14491518 15331606 18344754 21737277 22997409 43474554 45994818 68992227 137984454 176313469 352626938 528940407 1057880814 1586821221 3173642442