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349371040 = 2552183569
BaseRepresentation
bin10100110100101…
…111101010100000
3220100101212222011
4110310233222200
51203414333130
654400122304
711441414314
oct2464575240
9810355864
10349371040
1116a2356a7
1299006394
13574c5b35
1434585b44
1520a1252a
hex14d2faa0

349371040 has 24 divisors (see below), whose sum is σ = 825389460. Its totient is φ = 139748352.

The previous prime is 349370981. The next prime is 349371047. The reversal of 349371040 is 40173943.

It can be written as a sum of positive squares in 2 ways, for example, as 345513744 + 3857296 = 18588^2 + 1964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 349370993 and 349371011.

It is not an unprimeable number, because it can be changed into a prime (349371047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1091625 + ... + 1091944.

Almost surely, 2349371040 is an apocalyptic number.

It is an amenable number.

349371040 is an abundant number, since it is smaller than the sum of its proper divisors (476018420).

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

349371040 is a wasteful number, since it uses less digits than its factorization.

349371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183584 (or 2183576 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 349371040 is about 18691.4697121441. The cubic root of 349371040 is about 704.3074801822.

The spelling of 349371040 in words is "three hundred forty-nine million, three hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2183569 4367138 8734276 10917845 17468552 21835690 34937104 43671380 69874208 87342760 174685520 349371040