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345119280 = 243511314217
BaseRepresentation
bin10100100100100…
…001101000110000
3220001101212122120
4110210201220300
51201322304110
654125034240
711360315442
oct2444415060
9801355576
10345119280
111678a1250
12976b5980
13566677bc
1433b9a492
1520472870
hex14921a30

345119280 has 160 divisors (see below), whose sum is σ = 1205065728. Its totient is φ = 80947200.

The previous prime is 345119233. The next prime is 345119297. The reversal of 345119280 is 82911543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 13.

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, 79732 + ... + 83948.

Almost surely, 2345119280 is an apocalyptic number.

345119280 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 345119280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602532864).

345119280 is an abundant number, since it is smaller than the sum of its proper divisors (859946448).

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

345119280 is a wasteful number, since it uses less digits than its factorization.

345119280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 345119280 is about 18577.3862531843. The cubic root of 345119280 is about 701.4387279943.

The spelling of 345119280 in words is "three hundred forty-five million, one hundred nineteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 33 40 44 48 55 60 62 66 80 88 93 110 120 124 132 155 165 176 186 220 240 248 264 310 330 341 372 440 465 496 528 620 660 682 744 880 930 1023 1240 1320 1364 1488 1705 1860 2046 2480 2640 2728 3410 3720 4092 4217 5115 5456 6820 7440 8184 8434 10230 12651 13640 16368 16868 20460 21085 25302 27280 33736 40920 42170 46387 50604 63255 67472 81840 84340 92774 101208 126510 130727 139161 168680 185548 202416 231935 253020 261454 278322 337360 371096 392181 463870 506040 522908 556644 653635 695805 742192 784362 927740 1012080 1045816 1113288 1307270 1391610 1437997 1568724 1855480 1960905 2091632 2226576 2614540 2783220 2875994 3137448 3710960 3921810 4313991 5229080 5566440 5751988 6274896 7189985 7843620 8627982 10458160 11132880 11503976 14379970 15687240 17255964 21569955 23007952 28759940 31374480 34511928 43139910 57519880 69023856 86279820 115039760 172559640 345119280