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349075146 = 23729463619
BaseRepresentation
bin10100110011100…
…111011011001010
3220022211212002010
4110303213123022
51203330401041
654345520350
711436042540
oct2463473312
9808755063
10349075146
1116a053362
1298aa30b6
1357421254
1434509d90
15209a4a16
hex14ce76ca

349075146 has 64 divisors (see below), whose sum is σ = 828518400. Its totient is φ = 95933376.

The previous prime is 349075141. The next prime is 349075147. The reversal of 349075146 is 641570943.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (349075141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563625 + ... + 564243.

It is an arithmetic number, because the mean of its divisors is an integer number (12945600).

Almost surely, 2349075146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349075146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414259200).

349075146 is an abundant number, since it is smaller than the sum of its proper divisors (479443254).

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

349075146 is a wasteful number, since it uses less digits than its factorization.

349075146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 349075146 is about 18683.5528205960. The cubic root of 349075146 is about 704.1085901816.

The spelling of 349075146 in words is "three hundred forty-nine million, seventy-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 463 609 619 926 1218 1238 1389 1857 2778 3241 3714 4333 6482 8666 9723 12999 13427 17951 19446 25998 26854 35902 40281 53853 80562 93989 107706 125657 187978 251314 281967 286597 376971 563934 573194 753942 859791 1719582 2006179 4012358 6018537 8311313 12037074 16622626 24933939 49867878 58179191 116358382 174537573 349075146