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349585213 = 3724373877
BaseRepresentation
bin10100110101100…
…011111100111101
3220100210202202111
4110311203330331
51203443211323
654404454021
711443265605
oct2465437475
9810722674
10349585213
1116a3715aa
12990aa311
135756c473
14345ddc05
1520a55c0d
hex14d63f3d

349585213 has 8 divisors (see below), whose sum is σ = 359273432. Its totient is φ = 339909696.

The previous prime is 349585189. The next prime is 349585231. The reversal of 349585213 is 312585943.

It can be written as a sum of positive squares in 4 ways, for example, as 166848889 + 182736324 = 12917^2 + 13518^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 349585213 - 29 = 349584701 is a prime.

It is a super-2 number, since 2×3495852132 = 244419642296510738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349585253) 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, 88231 + ... + 92107.

It is an arithmetic number, because the mean of its divisors is an integer number (44909179).

Almost surely, 2349585213 is an apocalyptic number.

It is an amenable number.

349585213 is a deficient number, since it is larger than the sum of its proper divisors (9688219).

349585213 is a wasteful number, since it uses less digits than its factorization.

349585213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351.

The product of its digits is 129600, while the sum is 40.

The square root of 349585213 is about 18697.1979986307. The cubic root of 349585213 is about 704.4513700257.

The spelling of 349585213 in words is "three hundred forty-nine million, five hundred eighty-five thousand, two hundred thirteen".

Divisors: 1 37 2437 3877 90169 143449 9448249 349585213