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337220993 = 1761325189
BaseRepresentation
bin10100000110011…
…001010110000001
3212111112121020102
4110012121112001
51142312032433
653243452145
711233221404
oct2406312601
9774477212
10337220993
1116339713a
1294b27055
1354b30765
1432b01d3b
151e9124e8
hex14199581

337220993 has 8 divisors (see below), whose sum is σ = 362912040. Its totient is φ = 312180480.

The previous prime is 337220977. The next prime is 337220999. The reversal of 337220993 is 399022733.

It can be written as a sum of positive squares in 4 ways, for example, as 107910544 + 229310449 = 10388^2 + 15143^2 .

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 337220993 - 24 = 337220977 is a prime.

It is a super-2 number, since 2×3372209932 = 227435996239812098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337220999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161558 + ... + 163631.

It is an arithmetic number, because the mean of its divisors is an integer number (45364005).

Almost surely, 2337220993 is an apocalyptic number.

It is an amenable number.

337220993 is a deficient number, since it is larger than the sum of its proper divisors (25691047).

337220993 is a wasteful number, since it uses less digits than its factorization.

337220993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325267.

The product of its (nonzero) digits is 61236, while the sum is 38.

The square root of 337220993 is about 18363.5778921211. The cubic root of 337220993 is about 696.0464149970.

The spelling of 337220993 in words is "three hundred thirty-seven million, two hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 17 61 1037 325189 5528213 19836529 337220993