Search a number
-
+
349206180 = 223517342359
BaseRepresentation
bin10100110100000…
…111011010100100
3220100002111211020
4110310013122210
51203344044210
654352411140
711440126551
oct2464073244
9810074736
10349206180
1116a132854
1298b46ab0
1357468a9b
1434541a28
15209cd770
hex14d076a4

349206180 has 48 divisors (see below), whose sum is σ = 1035296640. Its totient is φ = 87643648.

The previous prime is 349206167. The next prime is 349206223. The reversal of 349206180 is 81602943.

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 15 ways as a sum of consecutive naturals, for example, 170160 + ... + 172199.

It is an arithmetic number, because the mean of its divisors is an integer number (21568680).

Almost surely, 2349206180 is an apocalyptic number.

349206180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349206180 is an abundant number, since it is smaller than the sum of its proper divisors (686090460).

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

349206180 is a wasteful number, since it uses less digits than its factorization.

349206180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342388 (or 342386 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 349206180 is about 18687.0591586798. The cubic root of 349206180 is about 704.1966806918.

The spelling of 349206180 in words is "three hundred forty-nine million, two hundred six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 342359 684718 1027077 1369436 1711795 2054154 3423590 4108308 5135385 5820103 6847180 10270770 11640206 17460309 20541540 23280412 29100515 34920618 58201030 69841236 87301545 116402060 174603090 349206180