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349504420 = 22526336637
BaseRepresentation
bin10100110101010…
…000001110100100
3220100122122221011
4110311100032210
51203433120140
654403032004
711442511216
oct2465201644
9810578834
10349504420
1116a316931
129906b604
1357541765
14345bc5b6
1520a3bcea
hex14d503a4

349504420 has 24 divisors (see below), whose sum is σ = 734348664. Its totient is φ = 139727616.

The previous prime is 349504417. The next prime is 349504429. The reversal of 349504420 is 24405943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 336428964 = 3616^2 + 18342^2 .

It is not an unprimeable number, because it can be changed into a prime (349504429) 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, 49342 + ... + 55978.

It is an arithmetic number, because the mean of its divisors is an integer number (30597861).

Almost surely, 2349504420 is an apocalyptic number.

It is an amenable number.

349504420 is an abundant number, since it is smaller than the sum of its proper divisors (384844244).

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

349504420 is a wasteful number, since it uses less digits than its factorization.

349504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9279 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 349504420 is about 18695.0373094038. The cubic root of 349504420 is about 704.3970970163.

The spelling of 349504420 in words is "three hundred forty-nine million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2633 5266 6637 10532 13165 13274 26330 26548 33185 52660 66370 132740 17475221 34950442 69900884 87376105 174752210 349504420