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31347693 = 3213267929
BaseRepresentation
bin111011110010…
…1001111101101
32011222121221200
41313211033231
531011111233
63035520113
7530310456
oct167451755
964877850
1031347693
1116770a93
12a5b9039
136657540
14424012d
152b43313
hex1de53ed

31347693 has 12 divisors (see below), whose sum is σ = 48763260. Its totient is φ = 19290816.

The previous prime is 31347691. The next prime is 31347709. The reversal of 31347693 is 39674313.

It can be written as a sum of positive squares in 2 ways, for example, as 18688329 + 12659364 = 4323^2 + 3558^2 .

It is not a de Polignac number, because 31347693 - 21 = 31347691 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31347691) 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 11 ways as a sum of consecutive naturals, for example, 133848 + ... + 134081.

It is an arithmetic number, because the mean of its divisors is an integer number (4063605).

Almost surely, 231347693 is an apocalyptic number.

It is an amenable number.

31347693 is a deficient number, since it is larger than the sum of its proper divisors (17415567).

31347693 is a wasteful number, since it uses less digits than its factorization.

31347693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267948 (or 267945 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 31347693 is about 5598.9010528853. The cubic root of 31347693 is about 315.3081489461.

The spelling of 31347693 in words is "thirty-one million, three hundred forty-seven thousand, six hundred ninety-three".

Divisors: 1 3 9 13 39 117 267929 803787 2411361 3483077 10449231 31347693