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3009090942 = 23211134128513
BaseRepresentation
bin1011001101011011…
…0001010101111110
321202201010122202200
42303112301111332
522130311402232
61214331132330
7134365564614
oct26326612576
97681118680
103009090942
11130460a620
126bb8a40a6
1338c5483b0
142078d16b4
1512928c77c
hexb35b157e

3009090942 has 96 divisors (see below), whose sum is σ = 7846596576. Its totient is φ = 821145600.

The previous prime is 3009090941. The next prime is 3009090947. The reversal of 3009090942 is 2490909003.

It is a junction number, because it is equal to n+sod(n) for n = 3009090897 and 3009090906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009090941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91278 + ... + 119790.

It is an arithmetic number, because the mean of its divisors is an integer number (81735381).

Almost surely, 23009090942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009090942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923298288).

3009090942 is an abundant number, since it is smaller than the sum of its proper divisors (4837505634).

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

3009090942 is a wasteful number, since it uses less digits than its factorization.

3009090942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586 (or 28583 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3009090942 is about 54855.1815419473. The cubic root of 3009090942 is about 1443.7049242575.

Adding to 3009090942 its reverse (2490909003), we get a palindrome (5499999945).

The spelling of 3009090942 in words is "three billion, nine million, ninety thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 41 66 78 82 99 117 123 143 198 234 246 286 369 429 451 533 738 858 902 1066 1287 1353 1599 2574 2706 3198 4059 4797 5863 8118 9594 11726 17589 28513 35178 52767 57026 85539 105534 171078 256617 313643 370669 513234 627286 741338 940929 1112007 1169033 1881858 2224014 2338066 2822787 3336021 3507099 4077359 5645574 6672042 7014198 8154718 10521297 12232077 12859363 15197429 21042594 24464154 25718726 30394858 36696231 38578089 45592287 73392462 77156178 91184574 115734267 136776861 167171719 231468534 273553722 334343438 501515157 1003030314 1504545471 3009090942