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341085024 = 25327891901
BaseRepresentation
bin10100010101001…
…000101101100000
3212202210220200200
4110111020231200
51144304210044
653502345200
711311113660
oct2425105540
9782726620
10341085024
11165596255
129628b200
1355884477
143342a1a0
151ee27369
hex14548b60

341085024 has 144 divisors (see below), whose sum is σ = 1121571360. Its totient is φ = 96307200.

The previous prime is 341085023. The next prime is 341085047. The reversal of 341085024 is 420580143.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341085023) 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 23 ways as a sum of consecutive naturals, for example, 178474 + ... + 180374.

It is an arithmetic number, because the mean of its divisors is an integer number (7788690).

Almost surely, 2341085024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341085024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560785680).

341085024 is an abundant number, since it is smaller than the sum of its proper divisors (780486336).

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

341085024 is a wasteful number, since it uses less digits than its factorization.

341085024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 341085024 is about 18468.4873230051. The cubic root of 341085024 is about 698.6948633480.

The spelling of 341085024 in words is "three hundred forty-one million, eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 89 96 112 126 144 168 178 224 252 267 288 336 356 504 534 623 672 712 801 1008 1068 1246 1424 1602 1869 1901 2016 2136 2492 2848 3204 3738 3802 4272 4984 5607 5703 6408 7476 7604 8544 9968 11214 11406 12816 13307 14952 15208 17109 19936 22428 22812 25632 26614 29904 30416 34218 39921 44856 45624 53228 59808 60832 68436 79842 89712 91248 106456 119763 136872 159684 169189 179424 182496 212912 239526 273744 319368 338378 425824 479052 507567 547488 638736 676756 958104 1015134 1184323 1277472 1353512 1522701 1916208 2030268 2368646 2707024 3045402 3552969 3832416 4060536 4737292 5414048 6090804 7105938 8121072 9474584 10658907 12181608 14211876 16242144 18949168 21317814 24363216 28423752 37898336 42635628 48726432 56847504 85271256 113695008 170542512 341085024