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344122380 = 223257273113
BaseRepresentation
bin10100100000101…
…110010000001100
3212222112020011100
4110200232100030
51201043404010
654051423100
711345664150
oct2440562014
9788466140
10344122380
11167280268
12972b4a90
13563a8b14
14339bb060
15203272c0
hex1482e40c

344122380 has 72 divisors (see below), whose sum is σ = 1192961952. Its totient is φ = 78656256.

The previous prime is 344122369. The next prime is 344122409. The reversal of 344122380 is 83221443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135297 + ... + 137816.

It is an arithmetic number, because the mean of its divisors is an integer number (16568916).

Almost surely, 2344122380 is an apocalyptic number.

344122380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344122380 is an abundant number, since it is smaller than the sum of its proper divisors (848839572).

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

344122380 is a wasteful number, since it uses less digits than its factorization.

344122380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273135 (or 273130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 344122380 is about 18550.5358413174. The cubic root of 344122380 is about 700.7626925079.

The spelling of 344122380 in words is "three hundred forty-four million, one hundred twenty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 273113 546226 819339 1092452 1365565 1638678 1911791 2458017 2731130 3277356 3823582 4096695 4916034 5462260 5735373 7647164 8193390 9558955 9832068 11470746 12290085 16386780 17206119 19117910 22941492 24580170 28676865 34412238 38235820 49160340 57353730 68824476 86030595 114707460 172061190 344122380