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3342782385 = 335192113607
BaseRepresentation
bin1100011100111110…
…1100111110110001
322121222000221101000
43013033230332301
523321223014020
61311411232213
7145560116145
oct30717547661
98558027330
103342782385
111465a05978
127935a8669
13413711457
14239d55225
15148704090
hexc73ecfb1

3342782385 has 96 divisors (see below), whose sum is σ = 6337889280. Its totient is φ = 1671280128.

The previous prime is 3342782381. The next prime is 3342782393. The reversal of 3342782385 is 5832872433.

3342782385 is a `hidden beast` number, since 3 + 342 + 78 + 238 + 5 = 666.

It is not a de Polignac number, because 3342782385 - 22 = 3342782381 is a prime.

It is a super-2 number, since 2×33427823852 = 22348388146932576450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Together with 2995106895 it forms an amicable pair .

It is a self number, because there is not a number n which added to its sum of digits gives 3342782385.

It is not an unprimeable number, because it can be changed into a prime (3342782381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5506752 + ... + 5507358.

It is an arithmetic number, because the mean of its divisors is an integer number (66019680).

Almost surely, 23342782385 is an apocalyptic number.

It is an amenable number.

3342782385 is a deficient number, since it is larger than the sum of its proper divisors (2995106895).

3342782385 is a wasteful number, since it uses less digits than its factorization.

3342782385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 747 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3342782385 is about 57816.8001968286. The cubic root of 3342782385 is about 1495.2117513807.

The spelling of 3342782385 in words is "three billion, three hundred forty-two million, seven hundred eighty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 19 27 45 57 95 113 135 171 285 339 361 513 565 607 855 1017 1083 1695 1805 1821 2147 2565 3035 3051 3249 5085 5415 5463 6441 9105 9747 10735 11533 15255 16245 16389 19323 27315 32205 34599 40793 48735 57665 57969 68591 81945 96615 103797 122379 172995 203965 205773 219127 289845 311391 342955 367137 518985 611895 617319 657381 1028865 1095635 1101411 1303229 1556955 1835685 1851957 1972143 3086595 3286905 3909687 5507055 5916429 6516145 9259785 9860715 11729061 19548435 24761351 29582145 35187183 58645305 74284053 123806755 175935915 222852159 371420265 668556477 1114260795 3342782385