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3005043342 = 237315939119
BaseRepresentation
bin1011001100011101…
…0101001010001110
321202102112000111120
42303013111022032
522123242341332
61214104301410
7134316306210
oct26307251216
97672460446
103005043342
1113022a55a4
126ba471866
1338b75bc72
1420715a5b0
15128c3d32c
hexb31d528e

3005043342 has 64 divisors (see below), whose sum is σ = 7210598400. Its totient is φ = 816783840.

The previous prime is 3005043337. The next prime is 3005043361. The reversal of 3005043342 is 2433405003.

3005043342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 57259 + ... + 96377.

It is an arithmetic number, because the mean of its divisors is an integer number (112665600).

Almost surely, 23005043342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005043342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605299200).

3005043342 is an abundant number, since it is smaller than the sum of its proper divisors (4205555058).

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

3005043342 is a wasteful number, since it uses less digits than its factorization.

3005043342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39221.

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3005043342 is about 54818.2756204534. The cubic root of 3005043342 is about 1443.0573131551.

Adding to 3005043342 its reverse (2433405003), we get a palindrome (5438448345).

The spelling of 3005043342 in words is "three billion, five million, forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 59 62 93 118 177 186 217 354 413 434 651 826 1239 1302 1829 2478 3658 5487 10974 12803 25606 38409 39119 76818 78238 117357 234714 273833 547666 821499 1212689 1642998 2308021 2425378 3638067 4616042 6924063 7276134 8488823 13848126 16156147 16977646 25466469 32312294 48468441 50932938 71548651 96936882 143097302 214645953 429291906 500840557 1001681114 1502521671 3005043342