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349243825 = 52721372081
BaseRepresentation
bin10100110100010…
…000100110110001
3220100011102110111
4110310100212301
51203401300300
654353301321
711440344400
oct2464204661
9810142414
10349243825
1116a159067
1298b64841
135747cc68
1434551637
15209d99ba
hex14d109b1

349243825 has 36 divisors (see below), whose sum is σ = 507687372. Its totient is φ = 237619200.

The previous prime is 349243757. The next prime is 349243837. The reversal of 349243825 is 528342943.

It can be written as a sum of positive squares in 6 ways, for example, as 8767521 + 340476304 = 2961^2 + 18452^2 .

It is not a de Polignac number, because 349243825 - 213 = 349235633 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166785 + ... + 168865.

It is an arithmetic number, because the mean of its divisors is an integer number (14102427).

Almost surely, 2349243825 is an apocalyptic number.

349243825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349243825 is a deficient number, since it is larger than the sum of its proper divisors (158443547).

349243825 is a wasteful number, since it uses less digits than its factorization.

349243825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2230 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 349243825 is about 18688.0663793770. The cubic root of 349243825 is about 704.2219843023.

The spelling of 349243825 in words is "three hundred forty-nine million, two hundred forty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 137 175 245 685 959 1225 2081 3425 4795 6713 10405 14567 23975 33565 52025 72835 101969 167825 285097 364175 509845 1425485 1995679 2549225 7127425 9978395 13969753 49891975 69848765 349243825