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345041775 = 35521317257
BaseRepresentation
bin10100100100001…
…110101101101111
3220001020221100000
4110210032231233
51201312314100
654123235343
711356543461
oct2444165557
9801227300
10345041775
11167848aa1
1297678b53
135663b440
1433b7a131
1520459900
hex1490eb6f

345041775 has 144 divisors (see below), whose sum is σ = 733640544. Its totient is φ = 159252480.

The previous prime is 345041747. The next prime is 345041779. The reversal of 345041775 is 577140543.

It is a happy number.

It is not a de Polignac number, because 345041775 - 27 = 345041647 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345041779) 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, 1342447 + ... + 1342703.

It is an arithmetic number, because the mean of its divisors is an integer number (5094726).

Almost surely, 2345041775 is an apocalyptic number.

345041775 is an abundant number, since it is smaller than the sum of its proper divisors (388598769).

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

345041775 is a wasteful number, since it uses less digits than its factorization.

345041775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 345041775 is about 18575.3001321648. The cubic root of 345041775 is about 701.3862156390.

The spelling of 345041775 in words is "three hundred forty-five million, forty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 135 153 195 221 225 243 255 257 325 351 405 425 459 585 663 675 765 771 975 1053 1105 1215 1275 1285 1377 1755 1989 2025 2295 2313 2925 3159 3315 3341 3825 3855 4131 4369 5265 5525 5967 6075 6425 6885 6939 8775 9945 10023 11475 11565 13107 15795 16575 16705 17901 19275 20655 20817 21845 26325 29835 30069 34425 34695 39321 49725 50115 53703 56797 57825 62451 65535 78975 83525 89505 90207 103275 104085 109225 117963 149175 150345 170391 173475 196605 250575 268515 270621 283985 312255 327675 353889 447525 451035 511173 520425 589815 751725 811863 851955 983025 1061667 1342575 1353105 1419925 1533519 1561275 1769445 2255175 2555865 2949075 4059315 4259775 4600557 5308335 6765525 7667595 8847225 12779325 13801671 20296575 23002785 26541675 38337975 69008355 115013925 345041775