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3384549540 = 2232518803053
BaseRepresentation
bin1100100110111100…
…0010000010100100
322201212121221010200
43021233002002210
523412421041130
61315502350500
7146605124241
oct31157020244
98655557120
103384549540
111487543189
127a558b430
1341c276448
142417085c8
1514c204760
hexc9bc20a4

3384549540 has 36 divisors (see below), whose sum is σ = 10266467484. Its totient is φ = 902546496.

The previous prime is 3384549529. The next prime is 3384549541. The reversal of 3384549540 is 459454833.

It can be written as a sum of positive squares in 2 ways, for example, as 535552164 + 2848997376 = 23142^2 + 53376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33845495402 = 22910351177428423200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3384549541) 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 11 ways as a sum of consecutive naturals, for example, 9401347 + ... + 9401706.

Almost surely, 23384549540 is an apocalyptic number.

3384549540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3384549540 is an abundant number, since it is smaller than the sum of its proper divisors (6881917944).

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

3384549540 is a wasteful number, since it uses less digits than its factorization.

3384549540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18803068 (or 18803063 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3384549540 is about 58176.8814908465. The cubic root of 3384549540 is about 1501.4134144215.

The spelling of 3384549540 in words is "three billion, three hundred eighty-four million, five hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18803053 37606106 56409159 75212212 94015265 112818318 169227477 188030530 225636636 282045795 338454954 376061060 564091590 676909908 846137385 1128183180 1692274770 3384549540