Search a number
-
+
349586280 = 23345107897
BaseRepresentation
bin10100110101100…
…100001101101000
3220100210211020000
4110311210031220
51203443230110
654404503000
711443301661
oct2465441550
9810724200
10349586280
1116a37238a
12990aaa60
135756cab4
1434600368
1520a561c0
hex14d64368

349586280 has 80 divisors (see below), whose sum is σ = 1175009220. Its totient is φ = 93222144.

The previous prime is 349586243. The next prime is 349586299. The reversal of 349586280 is 82685943.

349586280 is a `hidden beast` number, since 3 + 49 + 586 + 28 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 345736836 + 3849444 = 18594^2 + 1962^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50709 + ... + 57188.

Almost surely, 2349586280 is an apocalyptic number.

349586280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349586280 is an abundant number, since it is smaller than the sum of its proper divisors (825422940).

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

349586280 is a wasteful number, since it uses less digits than its factorization.

349586280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107920 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 349586280 is about 18697.2265322962. The cubic root of 349586280 is about 704.4520867311.

It can be divided in two parts, 349586 and 280, that added together give a triangular number (349866 = T836).

The spelling of 349586280 in words is "three hundred forty-nine million, five hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 107897 215794 323691 431588 539485 647382 863176 971073 1078970 1294764 1618455 1942146 2157940 2589528 2913219 3236910 3884292 4315880 4855365 5826438 6473820 7768584 8739657 9710730 11652876 12947640 14566095 17479314 19421460 23305752 29132190 34958628 38842920 43698285 58264380 69917256 87396570 116528760 174793140 349586280