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349287048 = 2332111912309
BaseRepresentation
bin10100110100011…
…011001010001000
3220100020121202100
4110310123022020
51203404141143
654354233400
711440614405
oct2464331210
9810217670
10349287048
1116a188590
1298b85860
1357496836
14345632ac
15209e76d3
hex14d1b288

349287048 has 96 divisors (see below), whose sum is σ = 1037836800. Its totient is φ = 105244800.

The previous prime is 349287047. The next prime is 349287073. The reversal of 349287048 is 840782943.

It is a junction number, because it is equal to n+sod(n) for n = 349286994 and 349287012.

It is not an unprimeable number, because it can be changed into a prime (349287047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150118 + ... + 152426.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2349287048 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 349287048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

349287048 is an abundant number, since it is smaller than the sum of its proper divisors (688549752).

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

349287048 is a wasteful number, since it uses less digits than its factorization.

349287048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 349287048 is about 18689.2227767770. Note that the first 3 decimals coincide. The cubic root of 349287048 is about 704.2510350009.

The spelling of 349287048 in words is "three hundred forty-nine million, two hundred eighty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 191 198 264 382 396 573 764 792 1146 1528 1719 2101 2292 2309 3438 4202 4584 4618 6303 6876 6927 8404 9236 12606 13752 13854 16808 18472 18909 20781 25212 25399 27708 37818 41562 50424 50798 55416 75636 76197 83124 101596 151272 152394 166248 203192 228591 304788 441019 457182 609576 882038 914364 1323057 1764076 1828728 2646114 3528152 3969171 4851209 5292228 7938342 9702418 10584456 14553627 15876684 19404836 29107254 31753368 38809672 43660881 58214508 87321762 116429016 174643524 349287048