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349603040 = 25519115001
BaseRepresentation
bin10100110101101…
…000010011100000
3220100211200012202
4110311220103200
51203444244130
654405112332
711443401563
oct2465502340
9810750182
10349603040
1116a383a36
12990b86a8
1357577607
14346064da
1520a5b145
hex14d684e0

349603040 has 48 divisors (see below), whose sum is σ = 869415120. Its totient is φ = 132480000.

The previous prime is 349602989. The next prime is 349603049. The reversal of 349603040 is 40306943.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 349602994 and 349603012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349603049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54461 + ... + 60540.

It is an arithmetic number, because the mean of its divisors is an integer number (18112815).

Almost surely, 2349603040 is an apocalyptic number.

It is an amenable number.

349603040 is an abundant number, since it is smaller than the sum of its proper divisors (519812080).

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

349603040 is a wasteful number, since it uses less digits than its factorization.

349603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115035 (or 115027 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 349603040 is about 18697.6747217401. The cubic root of 349603040 is about 704.4633442556.

Adding to 349603040 its reverse (40306943), we get a palindrome (389909983).

The spelling of 349603040 in words is "three hundred forty-nine million, six hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 115001 230002 460004 575005 920008 1150010 1840016 2185019 2300020 3680032 4370038 4600040 8740076 9200080 10925095 17480152 18400160 21850190 34960304 43700380 69920608 87400760 174801520 349603040