Search a number
-
+
2982209034 = 237157617733
BaseRepresentation
bin1011000111000000…
…1110011000001010
321200211112220201110
42301300032120022
522101421142114
61211531031150
7133621233660
oct26160163012
97624486643
102982209034
1112a0419872
126b289b4b6
13386ac573c
142040d4c30
15126c2c759
hexb1c0e60a

2982209034 has 64 divisors (see below), whose sum is σ = 6880386816. Its totient is φ = 844107264.

The previous prime is 2982209023. The next prime is 2982209039. The reversal of 2982209034 is 4309022892.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2982208983 and 2982209001.

It is not an unprimeable number, because it can be changed into a prime (2982209039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4068132 + ... + 4068864.

It is an arithmetic number, because the mean of its divisors is an integer number (107506044).

Almost surely, 22982209034 is an apocalyptic number.

2982209034 is an abundant number, since it is smaller than the sum of its proper divisors (3898177782).

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

2982209034 is a wasteful number, since it uses less digits than its factorization.

2982209034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519.

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2982209034 is about 54609.6056935041. The cubic root of 2982209034 is about 1439.3929144282.

The spelling of 2982209034 in words is "two billion, nine hundred eighty-two million, two hundred nine thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 157 314 471 617 733 942 1099 1234 1466 1851 2198 2199 3297 3702 4319 4398 5131 6594 8638 10262 12957 15393 25914 30786 96869 115081 193738 230162 290607 345243 452261 581214 678083 690486 805567 904522 1356166 1356783 1611134 2034249 2416701 2713566 3165827 4068498 4833402 6331654 9497481 18994962 71004977 142009954 213014931 426029862 497034839 994069678 1491104517 2982209034