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344057805 = 325713223281
BaseRepresentation
bin10100100000011…
…110011111001101
3212222101221120200
4110200132133031
51201034322210
654050204113
711345304660
oct2440363715
9788357520
10344057805
111672367a3
1297283639
1356385600
14339a16d7
15203130c0
hex1481e7cd

344057805 has 144 divisors (see below), whose sum is σ = 772851456. Its totient is φ = 138378240.

The previous prime is 344057803. The next prime is 344057863. The reversal of 344057805 is 508750443.

It is not a de Polignac number, because 344057805 - 21 = 344057803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 344057805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344057803) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1224265 + ... + 1224545.

It is an arithmetic number, because the mean of its divisors is an integer number (5367024).

Almost surely, 2344057805 is an apocalyptic number.

344057805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

344057805 is an abundant number, since it is smaller than the sum of its proper divisors (428793651).

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

344057805 is a wasteful number, since it uses less digits than its factorization.

344057805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 344057805 is about 18548.7952438966. The cubic root of 344057805 is about 700.7188567639.

The spelling of 344057805 in words is "three hundred forty-four million, fifty-seven thousand, eight hundred five".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 161 169 195 207 273 281 299 315 345 455 483 507 585 805 819 843 845 897 1035 1183 1365 1405 1449 1495 1521 1967 2093 2415 2529 2535 2691 3549 3653 3887 4095 4215 4485 5901 5915 6279 6463 7245 7605 9835 10465 10647 10959 11661 12645 13455 17703 17745 18265 18837 19389 19435 25571 27209 29505 31395 32315 32877 34983 45241 47489 53235 54795 58167 58305 76713 81627 84019 88515 94185 96945 127855 135723 136045 142467 164385 174915 226205 230139 237445 244881 252057 290835 332423 383565 407169 408135 420095 427401 588133 678615 712335 756171 997269 1092247 1150695 1224405 1260285 1662115 1764399 2035845 2137005 2940665 2991807 3276741 3780855 4986345 5293197 5461235 7645729 8821995 9830223 14959035 16383705 22937187 26465985 38228645 49151115 68811561 114685935 344057805