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343921641 = 37519359
BaseRepresentation
bin10100011111111…
…101001111101001
3212222011000210120
4110133331033221
51201020443031
654043233453
711344200000
oct2437751751
9788130716
10343921641
11167153468
1297218889
135633863b
1433967c37
15202d7a96
hex147fd3e9

343921641 has 48 divisors (see below), whose sum is σ = 564710400. Its totient is φ = 185664528.

The previous prime is 343921609. The next prime is 343921661. The reversal of 343921641 is 146129343.

It is not a de Polignac number, because 343921641 - 25 = 343921609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343921661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957820 + ... + 958178.

It is an arithmetic number, because the mean of its divisors is an integer number (11764800).

Almost surely, 2343921641 is an apocalyptic number.

It is an amenable number.

343921641 is a deficient number, since it is larger than the sum of its proper divisors (220788759).

343921641 is an frugal number, since it uses more digits than its factorization.

343921641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 343921641 is about 18545.1244536131. The cubic root of 343921641 is about 700.6264059503.

The spelling of 343921641 in words is "three hundred forty-three million, nine hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 3 7 19 21 49 57 133 147 343 359 399 931 1029 1077 2401 2513 2793 6517 6821 7203 7539 16807 17591 19551 20463 45619 47747 50421 52773 123137 136857 143241 319333 334229 369411 861959 957999 1002687 2339603 2585877 6033713 7018809 16377221 18101139 49131663 114640547 343921641