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344214060 = 223579101719
BaseRepresentation
bin10100100001000…
…100101000101100
3212222200212220220
4110201010220230
51201104322220
654053411340
711346525351
oct2441045054
9788625826
10344214060
11167333133
1297339b50
135640b778
1433a02628
1520344540
hex14844a2c

344214060 has 96 divisors (see below), whose sum is σ = 987033600. Its totient is φ = 89606400.

The previous prime is 344214047. The next prime is 344214119. The reversal of 344214060 is 60412443.

It is a self number, because there is not a number n which added to its sum of digits gives 344214060.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478381 + ... + 479099.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2344214060 is an apocalyptic number.

344214060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344214060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

344214060 is an abundant number, since it is smaller than the sum of its proper divisors (642819540).

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

344214060 is a wasteful number, since it uses less digits than its factorization.

344214060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 344214060 is about 18553.0067644034. The cubic root of 344214060 is about 700.8249186449.

The spelling of 344214060 in words is "three hundred forty-four million, two hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 101 158 202 237 303 316 395 404 474 505 606 719 790 948 1010 1185 1212 1438 1515 1580 2020 2157 2370 2876 3030 3595 4314 4740 6060 7190 7979 8628 10785 14380 15958 21570 23937 31916 39895 43140 47874 56801 72619 79790 95748 113602 119685 145238 159580 170403 217857 227204 239370 284005 290476 340806 363095 435714 478740 568010 681612 726190 852015 871428 1089285 1136020 1452380 1704030 2178570 3408060 4357140 5736901 11473802 17210703 22947604 28684505 34421406 57369010 68842812 86053515 114738020 172107030 344214060