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337054047 = 31110213759
BaseRepresentation
bin10100000101110…
…000100101011111
3212111020010020020
4110011300211133
51142241212142
653240123223
711231624601
oct2405604537
9774203206
10337054047
11163292770
1294a66513
1354aa2785
1432a9b171
151e8cccec
hex1417095f

337054047 has 8 divisors (see below), whose sum is σ = 490260480. Its totient is φ = 204275160.

The previous prime is 337054031. The next prime is 337054141. The reversal of 337054047 is 740450733.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 337054047 - 24 = 337054031 is a prime.

It is a super-2 number, since 2×3370540472 = 227210861198156418, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 10213759 = 337054047 / (3 + 3 + 7 + 0 + 5 + 4 + 0 + 4 + 7).

It is a junction number, because it is equal to n+sod(n) for n = 337053999 and 337054017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (337054147) 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, 5106847 + ... + 5106912.

It is an arithmetic number, because the mean of its divisors is an integer number (61282560).

Almost surely, 2337054047 is an apocalyptic number.

337054047 is a deficient number, since it is larger than the sum of its proper divisors (153206433).

337054047 is a wasteful number, since it uses less digits than its factorization.

337054047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10213773.

The product of its (nonzero) digits is 35280, while the sum is 33.

The square root of 337054047 is about 18359.0317555148. The cubic root of 337054047 is about 695.9315335115.

The spelling of 337054047 in words is "three hundred thirty-seven million, fifty-four thousand, forty-seven".

Divisors: 1 3 11 33 10213759 30641277 112351349 337054047