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349332640 = 2556732587
BaseRepresentation
bin10100110100100…
…110010010100000
3220100022221021221
4110310212102200
51203412121030
654355224424
711441164336
oct2464462240
9810287257
10349332640
1116a209868
1298ba8114
13574b1507
1434575b56
1520a05e7a
hex14d264a0

349332640 has 48 divisors (see below), whose sum is σ = 837641952. Its totient is φ = 137643264.

The previous prime is 349332631. The next prime is 349332673. The reversal of 349332640 is 46233943.

It is a junction number, because it is equal to n+sod(n) for n = 349332596 and 349332605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5574 + ... + 27013.

It is an arithmetic number, because the mean of its divisors is an integer number (17450874).

Almost surely, 2349332640 is an apocalyptic number.

It is an amenable number.

349332640 is an abundant number, since it is smaller than the sum of its proper divisors (488309312).

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

349332640 is a wasteful number, since it uses less digits than its factorization.

349332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32669 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 349332640 is about 18690.4424773733. The cubic root of 349332640 is about 704.2816753357.

It can be divided in two parts, 34933 and 2640, that added together give a palindrome (37573).

The spelling of 349332640 in words is "three hundred forty-nine million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 1072 1340 2144 2680 5360 10720 32587 65174 130348 162935 260696 325870 521392 651740 1042784 1303480 2183329 2606960 4366658 5213920 8733316 10916645 17466632 21833290 34933264 43666580 69866528 87333160 174666320 349332640