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349223094 = 232113773653
BaseRepresentation
bin10100110100001…
…011100010110110
3220100010101000200
4110310023202312
51203400114334
654353021330
711440230063
oct2464134266
9810111020
10349223094
1116a144530
1298b54846
13574736ac
1434547c6a
15209d3799
hex14d0b8b6

349223094 has 96 divisors (see below), whose sum is σ = 860674464. Its totient is φ = 101399040.

The previous prime is 349223089. The next prime is 349223101. The reversal of 349223094 is 490322943.

349223094 is a `hidden beast` number, since 349 + 2 + 2 + 309 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534472 + ... + 535124.

It is an arithmetic number, because the mean of its divisors is an integer number (8965359).

Almost surely, 2349223094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349223094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430337232).

349223094 is an abundant number, since it is smaller than the sum of its proper divisors (511451370).

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

349223094 is a wasteful number, since it uses less digits than its factorization.

349223094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349223094 is about 18687.5117123709. The cubic root of 349223094 is about 704.2080498972.

The spelling of 349223094 in words is "three hundred forty-nine million, two hundred twenty-three thousand, ninety-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 73 74 99 111 146 198 219 222 333 407 438 653 657 666 803 814 1221 1306 1314 1606 1959 2409 2442 2701 3663 3918 4818 5402 5877 7183 7227 7326 8103 11754 14366 14454 16206 21549 24161 24309 29711 43098 47669 48322 48618 59422 64647 72483 89133 95338 129294 143007 144966 178266 217449 265771 267399 286014 429021 434898 524359 531542 534798 797313 858042 1048718 1573077 1594626 1763753 2391939 3146154 3527506 4719231 4783878 5291259 9438462 10582518 15873777 19401283 31747554 38802566 58203849 116407698 174611547 349223094