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349361838 = 23272772713
BaseRepresentation
bin10100110100101…
…101011010101110
3220100101102100100
4110310231122232
51203414034323
654400011530
711441345430
oct2464553256
9810342310
10349361838
1116a2297a1
1299000ba6
13574c18a7
1434582650
1520a0e943
hex14d2d6ae

349361838 has 24 divisors (see below), whose sum is σ = 865086768. Its totient is φ = 99817632.

The previous prime is 349361827. The next prime is 349361839. The reversal of 349361838 is 838163943.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 349361793 and 349361802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349361839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1386231 + ... + 1386482.

It is an arithmetic number, because the mean of its divisors is an integer number (36045282).

Almost surely, 2349361838 is an apocalyptic number.

349361838 is an abundant number, since it is smaller than the sum of its proper divisors (515724930).

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

349361838 is a wasteful number, since it uses less digits than its factorization.

349361838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772728 (or 2772725 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 349361838 is about 18691.2235554551. The cubic root of 349361838 is about 704.3012965993.

The spelling of 349361838 in words is "three hundred forty-nine million, three hundred sixty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2772713 5545426 8318139 16636278 19408991 24954417 38817982 49908834 58226973 116453946 174680919 349361838