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3405234025452 = 2237243711896893
BaseRepresentation
bin110001100011010111110…
…000111011001111101100
3110001112111121120200120110
4301203113300323033230
5421242404402303302
611124202023020020
7501006605432400
oct61432760731754
913045447520513
103405234025452
1110a3173918946
1246bb59b9a610
131b915c63840c
14bab58279100
155d8a08beb6c
hex318d7c3b3ec

3405234025452 has 144 divisors (see below), whose sum is σ = 9590938866432. Its totient is φ = 936912896640.

The previous prime is 3405234025451. The next prime is 3405234025499. The reversal of 3405234025452 is 2545204325043.

It is a self number, because there is not a number n which added to its sum of digits gives 3405234025452.

It is not an unprimeable number, because it can be changed into a prime (3405234025451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846718 + ... + 2743610.

It is an arithmetic number, because the mean of its divisors is an integer number (66603742128).

Almost surely, 23405234025452 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 3405234025452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795469433216).

3405234025452 is an abundant number, since it is smaller than the sum of its proper divisors (6185704840980).

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

3405234025452 is a wasteful number, since it uses less digits than its factorization.

3405234025452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897028 (or 1897019 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

The spelling of 3405234025452 in words is "three trillion, four hundred five billion, two hundred thirty-four million, twenty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 71 84 86 98 129 142 147 172 196 213 258 284 294 301 426 497 516 588 602 852 903 994 1204 1491 1806 1988 2107 2982 3053 3479 3612 4214 5964 6106 6321 6958 8428 9159 10437 12212 12642 13916 18318 20874 21371 25284 36636 41748 42742 64113 85484 128226 149597 256452 299194 448791 598388 897582 1795164 1896893 3793786 5690679 7587572 11381358 13278251 22762716 26556502 39834753 53113004 79669506 81566399 92947757 134679403 159339012 163132798 185895514 244699197 269358806 278843271 326265596 371791028 404038209 489398394 538717612 557686542 570964793 808076418 942755821 978796788 1115373084 1141929586 1616152836 1712894379 1885511642 2283859172 2828267463 3425788758 3771023284 3996753551 5656534926 5791214329 6599290747 6851577516 7993507102 11313069852 11582428658 11990260653 13198581494 15987014204 17373642987 19797872241 23164857316 23980521306 26397162988 34747285974 39595744482 40538500303 47961042612 69494571948 79191488964 81077000606 121615500909 162154001212 243231001818 283769502121 486462003636 567539004242 851308506363 1135078008484 1702617012726 3405234025452