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337666393 = 1738951061
BaseRepresentation
bin10100001000000…
…110000101011001
3212112101020012201
4110020012011121
51142420311033
653301210201
711240055061
oct2410060531
9775336181
10337666393
11163670839
1295100961
1354c583cc
1432bba3a1
151e99e47d
hex14206159

337666393 has 8 divisors (see below), whose sum is σ = 358455240. Its totient is φ = 316980480.

The previous prime is 337666387. The next prime is 337666397. The reversal of 337666393 is 393666733.

It can be written as a sum of positive squares in 4 ways, for example, as 1567504 + 336098889 = 1252^2 + 18333^2 .

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 337666393 - 213 = 337658201 is a prime.

It is a super-3 number, since 3×3376663933 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (337666397) 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, 18918 + ... + 32143.

It is an arithmetic number, because the mean of its divisors is an integer number (44806905).

Almost surely, 2337666393 is an apocalyptic number.

It is an amenable number.

337666393 is a deficient number, since it is larger than the sum of its proper divisors (20788847).

337666393 is a wasteful number, since it uses less digits than its factorization.

337666393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51467.

The product of its digits is 1102248, while the sum is 46.

The square root of 337666393 is about 18375.7011566906. The cubic root of 337666393 is about 696.3527251904.

The spelling of 337666393 in words is "three hundred thirty-seven million, six hundred sixty-six thousand, three hundred ninety-three".

Divisors: 1 17 389 6613 51061 868037 19862729 337666393