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3084605040 = 2435111168411
BaseRepresentation
bin1011011111011011…
…0101011001110000
321221222020011122010
42313312311121300
522304124330130
61230025442520
7136303465416
oct26766653160
97858204563
103084605040
1113431a7470
12721040440
133a20979aa
1421394b2b6
15130c070b0
hexb7db5670

3084605040 has 80 divisors (see below), whose sum is σ = 10431582336. Its totient is φ = 747782400.

The previous prime is 3084605033. The next prime is 3084605047. The reversal of 3084605040 is 405064803.

It is an interprime number because it is at equal distance from previous prime (3084605033) and next prime (3084605047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3084604989 and 3084605007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084605047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581566 + ... + 586845.

Almost surely, 23084605040 is an apocalyptic number.

3084605040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3084605040 is an abundant number, since it is smaller than the sum of its proper divisors (7346977296).

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

3084605040 is a wasteful number, since it uses less digits than its factorization.

3084605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168438 (or 1168432 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3084605040 is about 55539.2207363409. The cubic root of 3084605040 is about 1455.6820316605.

Adding to 3084605040 its reverse (405064803), we get a palindrome (3489669843).

The spelling of 3084605040 in words is "three billion, eighty-four million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1168411 2336822 3505233 4673644 5842055 7010466 9347288 11684110 12852521 14020932 17526165 18694576 23368220 25705042 28041864 35052330 38557563 46736440 51410084 56083728 64262605 70104660 77115126 93472880 102820168 128525210 140209320 154230252 192787815 205640336 257050420 280418640 308460504 385575630 514100840 616921008 771151260 1028201680 1542302520 3084605040