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337634093 = 1723338513
BaseRepresentation
bin10100000111111…
…110001100101101
3212112022120220102
4110013332030231
51142413242333
653300400445
711236561646
oct2407761455
9775276812
10337634093
11163649545
12950a6125
1354c467b4
1432bac6cd
151e994ae8
hex141fe32d

337634093 has 8 divisors (see below), whose sum is σ = 357690168. Its totient is φ = 317599744.

The previous prime is 337634083. The next prime is 337634111. The reversal of 337634093 is 390436733.

It can be written as a sum of positive squares in 4 ways, for example, as 165971689 + 171662404 = 12883^2 + 13102^2 .

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 337634093 - 216 = 337568557 is a prime.

It is a super-2 number, since 2×3376340932 = 227993561511865298, 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 (337634023) 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, 35405 + ... + 43917.

It is an arithmetic number, because the mean of its divisors is an integer number (44711271).

Almost surely, 2337634093 is an apocalyptic number.

It is an amenable number.

337634093 is a deficient number, since it is larger than the sum of its proper divisors (20056075).

337634093 is a wasteful number, since it uses less digits than its factorization.

337634093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10863.

The product of its (nonzero) digits is 122472, while the sum is 38.

The square root of 337634093 is about 18374.8222576437. The cubic root of 337634093 is about 696.3305209175.

The spelling of 337634093 in words is "three hundred thirty-seven million, six hundred thirty-four thousand, ninety-three".

Divisors: 1 17 2333 8513 39661 144721 19860829 337634093