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349923267 = 3361212461
BaseRepresentation
bin10100110110110…
…110011111000011
3220101102221111000
4110312312133003
51204040021032
654420023043
711446204311
oct2466663703
9811387430
10349923267
1116a582591
1299231a83
135765a2b5
143468b0b1
1520ac0e7c
hex14db67c3

349923267 has 16 divisors (see below), whose sum is σ = 526905760. Its totient is φ = 229456800.

The previous prime is 349923263. The next prime is 349923271. The reversal of 349923267 is 762329943.

It is an interprime number because it is at equal distance from previous prime (349923263) and next prime (349923271).

It is not a de Polignac number, because 349923267 - 22 = 349923263 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349923263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104584 + ... + 107877.

It is an arithmetic number, because the mean of its divisors is an integer number (32931610).

Almost surely, 2349923267 is an apocalyptic number.

349923267 is a deficient number, since it is larger than the sum of its proper divisors (176982493).

349923267 is a wasteful number, since it uses less digits than its factorization.

349923267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212531 (or 212525 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 349923267 is about 18706.2360457683. The cubic root of 349923267 is about 704.6783684544.

It can be divided in two parts, 34992 and 3267, that multiplied together give a square (114318864 = 106922).

The spelling of 349923267 in words is "three hundred forty-nine million, nine hundred twenty-three thousand, two hundred sixty-seven".

Divisors: 1 3 9 27 61 183 549 1647 212461 637383 1912149 5736447 12960121 38880363 116641089 349923267