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341116020 = 223257972791
BaseRepresentation
bin10100010101010…
…000010001110100
3212202212111012200
4110111100101310
51144311203040
653503144500
711311303230
oct2425202164
9782774180
10341116020
11165607573
12962a5130
13558955cb
14334375c0
151ee31630
hex14550474

341116020 has 144 divisors (see below), whose sum is σ = 1195154688. Its totient is φ = 77137920.

The previous prime is 341115977. The next prime is 341116051. The reversal of 341116020 is 20611143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 341115984 and 341116002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 120825 + ... + 123615.

Almost surely, 2341116020 is an apocalyptic number.

341116020 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 341116020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597577344).

341116020 is an abundant number, since it is smaller than the sum of its proper divisors (854038668).

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

341116020 is a wasteful number, since it uses less digits than its factorization.

341116020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 341116020 is about 18469.3264630847. The cubic root of 341116020 is about 698.7160272695.

Adding to 341116020 its reverse (20611143), we get a palindrome (361727163).

The spelling of 341116020 in words is "three hundred forty-one million, one hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2791 2910 3395 3492 4074 4365 5582 5820 6111 6790 8148 8373 8730 10185 11164 12222 13580 13955 16746 17460 19537 20370 24444 25119 27910 30555 33492 39074 40740 41865 50238 55820 58611 61110 78148 83730 97685 100476 117222 122220 125595 167460 175833 195370 234444 251190 270727 293055 351666 390740 502380 541454 586110 703332 812181 879165 1082908 1172220 1353635 1624362 1758330 1895089 2436543 2707270 3248724 3516660 3790178 4060905 4873086 5414540 5685267 7580356 8121810 9475445 9746172 11370534 12182715 16243620 17055801 18950890 22741068 24365430 28426335 34111602 37901780 48730860 56852670 68223204 85279005 113705340 170558010 341116020