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349219464 = 233113171601
BaseRepresentation
bin10100110100001…
…010101010001000
3220100010012001020
4110310022222020
51203400010324
654352552440
711440213356
oct2464125210
9810105036
10349219464
1116a141830
1298b52720
1357471b49
14345467d6
15209d2679
hex14d0aa88

349219464 has 128 divisors (see below), whose sum is σ = 998645760. Its totient is φ = 100800000.

The previous prime is 349219463. The next prime is 349219499. The reversal of 349219464 is 464912943.

It is not an unprimeable number, because it can be changed into a prime (349219463) 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 31 ways as a sum of consecutive naturals, for example, 580764 + ... + 581364.

It is an arithmetic number, because the mean of its divisors is an integer number (7801920).

Almost surely, 2349219464 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 349219464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499322880).

349219464 is an abundant number, since it is smaller than the sum of its proper divisors (649426296).

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

349219464 is a wasteful number, since it uses less digits than its factorization.

349219464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 349219464 is about 18687.4145884336. The cubic root of 349219464 is about 704.2056099249.

The spelling of 349219464 in words is "three hundred forty-nine million, two hundred nineteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 601 682 744 781 852 1023 1202 1364 1562 1704 1803 2046 2201 2343 2404 2728 3124 3606 4092 4402 4686 4808 6248 6603 6611 7212 8184 8804 9372 13206 13222 14424 17608 18631 18744 19833 24211 26412 26444 37262 39666 42671 48422 52824 52888 55893 72633 74524 79332 85342 96844 111786 128013 145266 149048 158664 170684 193688 204941 223572 256026 290532 341368 409882 447144 469381 512052 581064 614823 819764 938762 1024104 1229646 1322801 1408143 1639528 1877524 2459292 2645602 2816286 3755048 3968403 4918584 5291204 5632572 7936806 10582408 11265144 14550811 15873612 29101622 31747224 43652433 58203244 87304866 116406488 174609732 349219464