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3128634780 = 22351716718367
BaseRepresentation
bin1011101001111011…
…0010110110011100
322002001002010002020
42322132302312130
522401412303110
61234241300140
7140346646125
oct27236626634
98061063066
103128634780
11136603a687
12733934650
133ab2427ab
1421972d04c
15134a02d70
hexba7b2d9c

3128634780 has 96 divisors (see below), whose sum is σ = 9331531776. Its totient is φ = 780481536.

The previous prime is 3128634779. The next prime is 3128634827. The reversal of 3128634780 is 874368213.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 161157 + ... + 179523.

It is an arithmetic number, because the mean of its divisors is an integer number (97203456).

Almost surely, 23128634780 is an apocalyptic number.

3128634780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128634780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665765888).

3128634780 is an abundant number, since it is smaller than the sum of its proper divisors (6202896996).

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

3128634780 is a wasteful number, since it uses less digits than its factorization.

3128634780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18563 (or 18561 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3128634780 is about 55934.2004501718. The cubic root of 3128634780 is about 1462.5754847444.

It can be divided in two parts, 31286 and 34780, that added together give a palindrome (66066).

The spelling of 3128634780 in words is "three billion, one hundred twenty-eight million, six hundred thirty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 167 170 204 255 334 340 501 510 668 835 1002 1020 1670 2004 2505 2839 3340 5010 5678 8517 10020 11356 14195 17034 18367 28390 34068 36734 42585 55101 56780 73468 85170 91835 110202 170340 183670 220404 275505 312239 367340 551010 624478 936717 1102020 1248956 1561195 1873434 3067289 3122390 3746868 4683585 6134578 6244780 9201867 9367170 12269156 15336445 18403734 18734340 30672890 36807468 46009335 52143913 61345780 92018670 104287826 156431739 184037340 208575652 260719565 312863478 521439130 625726956 782158695 1042878260 1564317390 3128634780