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341063856 = 24327794283
BaseRepresentation
bin10100010101000…
…011100010110000
3212202202211122200
4110111003202300
51144303020411
653502103200
711310665160
oct2425034260
9782684580
10341063856
11165581361
129627ab00
1355877943
14334225a0
151ee20e56
hex145438b0

341063856 has 120 divisors (see below), whose sum is σ = 1104929280. Its totient is φ = 96190848.

The previous prime is 341063783. The next prime is 341063881. The reversal of 341063856 is 658360143.

341063856 is a `hidden beast` number, since 3 + 4 + 10 + 638 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 341063856.

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 23 ways as a sum of consecutive naturals, for example, 77491 + ... + 81773.

It is an arithmetic number, because the mean of its divisors is an integer number (9207744).

Almost surely, 2341063856 is an apocalyptic number.

341063856 is a gapful number since it is divisible by the number (36) 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 341063856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552464640).

341063856 is an abundant number, since it is smaller than the sum of its proper divisors (763865424).

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

341063856 is a wasteful number, since it uses less digits than its factorization.

341063856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 341063856 is about 18467.9142298203. The cubic root of 341063856 is about 698.6804092014.

The spelling of 341063856 in words is "three hundred forty-one million, sixty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 79 84 112 126 144 158 168 237 252 316 336 474 504 553 632 711 948 1008 1106 1264 1422 1659 1896 2212 2844 3318 3792 4283 4424 4977 5688 6636 8566 8848 9954 11376 12849 13272 17132 19908 25698 26544 29981 34264 38547 39816 51396 59962 68528 77094 79632 89943 102792 119924 154188 179886 205584 239848 269829 308376 338357 359772 479696 539658 616752 676714 719544 1015071 1079316 1353428 1439088 2030142 2158632 2368499 2706856 3045213 4060284 4317264 4736998 5413712 6090426 7105497 8120568 9473996 12180852 14210994 16241136 18947992 21316491 24361704 28421988 37895984 42632982 48723408 56843976 85265964 113687952 170531928 341063856