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3334746640 = 245193215981
BaseRepresentation
bin1100011011000100…
…0011001000010000
322121101220200101211
43012301003020100
523312143343030
61310523105504
7145431610261
oct30661031020
98541820354
103334746640
111461417565
12790972294
13411b59984
14238c62968
15147b6812a
hexc6c43210

3334746640 has 40 divisors (see below), whose sum is σ = 7793494488. Its totient is φ = 1326981120.

The previous prime is 3334746629. The next prime is 3334746647. The reversal of 3334746640 is 466474333.

It can be written as a sum of positive squares in 4 ways, for example, as 266472976 + 3068273664 = 16324^2 + 55392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33347466402 = 22241070305982579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3334746593 and 3334746602.

It is not an unprimeable number, because it can be changed into a prime (3334746647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92551 + ... + 123430.

Almost surely, 23334746640 is an apocalyptic number.

It is an amenable number.

3334746640 is an abundant number, since it is smaller than the sum of its proper divisors (4458747848).

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

3334746640 is a wasteful number, since it uses less digits than its factorization.

3334746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216187 (or 216181 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The square root of 3334746640 is about 57747.2652166317. The cubic root of 3334746640 is about 1494.0126723285.

The spelling of 3334746640 in words is "three billion, three hundred thirty-four million, seven hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 215981 431962 863924 1079905 1727848 2159810 3455696 4319620 8639240 17278480 41684333 83368666 166737332 208421665 333474664 416843330 666949328 833686660 1667373320 3334746640