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3342745168 = 247373312437
BaseRepresentation
bin1100011100111110…
…0011111001010000
322121221222001022121
43013033203321100
523321220321133
61311410344024
7145556602510
oct30717437120
98557861277
103342745168
11146598aa14
1279358b014
134136ca529
14239d45840
151486e802d
hexc73e3e50

3342745168 has 80 divisors (see below), whose sum is σ = 7627936384. Its totient is φ = 1389104640.

The previous prime is 3342745121. The next prime is 3342745169. The reversal of 3342745168 is 8615472433.

It is a super-2 number, since 2×33427451682 = 22347890516374696448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342745169) 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 15 ways as a sum of consecutive naturals, for example, 1370446 + ... + 1372882.

Almost surely, 23342745168 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 3342745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813968192).

3342745168 is an abundant number, since it is smaller than the sum of its proper divisors (4285191216).

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

3342745168 is a wasteful number, since it uses less digits than its factorization.

3342745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 3342745168 is about 57816.4783431160. The cubic root of 3342745168 is about 1495.2062023604.

The spelling of 3342745168 in words is "three billion, three hundred forty-two million, seven hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 331 518 592 662 1036 1324 2072 2317 2437 2648 4144 4634 4874 5296 9268 9748 12247 17059 18536 19496 24494 34118 37072 38992 48988 68236 85729 90169 97976 136472 171458 180338 195952 272944 342916 360676 631183 685832 721352 806647 1262366 1371664 1442704 1613294 2524732 3226588 5049464 5646529 6453176 10098928 11293058 12906352 22586116 29845939 45172232 59691878 90344464 119383756 208921573 238767512 417843146 477535024 835686292 1671372584 3342745168