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3234561203104 = 257114792740559
BaseRepresentation
bin101111000100011010110…
…111110001101110100000
3102110012222010112222200221
4233010122313301232200
5410443340131444404
610513534212052424
7452455304405140
oct57043267615640
912405863488627
103234561203104
111037851524350
12442a68004114
131a60301993ca
14b27a7100920
1559211e6e954
hex2f11adf1ba0

3234561203104 has 96 divisors (see below), whose sum is σ = 7955955302400. Its totient is φ = 1257587255040.

The previous prime is 3234561203087. The next prime is 3234561203113. The reversal of 3234561203104 is 4013021654323.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3234561203104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190024 + ... + 2550535.

It is an arithmetic number, because the mean of its divisors is an integer number (82874534400).

Almost surely, 23234561203104 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 3234561203104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977977651200).

3234561203104 is an abundant number, since it is smaller than the sum of its proper divisors (4721394099296).

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

3234561203104 is a wasteful number, since it uses less digits than its factorization.

3234561203104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741066 (or 2741058 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 3234561203104 its reverse (4013021654323), we get a palindrome (7247582857427).

The spelling of 3234561203104 in words is "three trillion, two hundred thirty-four billion, five hundred sixty-one million, two hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 479 616 958 1232 1916 2464 3353 3832 5269 6706 7664 10538 13412 15328 21076 26824 36883 42152 53648 73766 84304 107296 147532 168608 295064 590128 1180256 2740559 5481118 10962236 19183913 21924472 30146149 38367826 43848944 60292298 76735652 87697888 120584596 153471304 211023043 241169192 306942608 422046086 482338384 613885216 844092172 964676768 1312727761 1688184344 2625455522 3376368688 5250911044 6752737376 9189094327 10501822088 14440005371 18378188654 21003644176 28880010742 36756377308 42007288352 57760021484 73512754616 101080037597 115520042968 147025509232 202160075194 231040085936 294051018464 404320150388 462080171872 808640300776 1617280601552 3234561203104