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335213073 = 3413449709
BaseRepresentation
bin10011111110101…
…111001000010001
3212100202120220000
4103332233020101
51141303304243
653132440213
711210156406
oct2376571021
9770676800
10335213073
111622455a8
1294319069
13545a9840
143273c2ad
151e6675d3
hex13faf211

335213073 has 40 divisors (see below), whose sum is σ = 541233000. Its totient is φ = 205535232.

The previous prime is 335213069. The next prime is 335213093. The reversal of 335213073 is 370312533.

335213073 is a `hidden beast` number, since 3 + 352 + 1 + 307 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 334450944 = 873^2 + 18288^2 .

It is not a de Polignac number, because 335213073 - 22 = 335213069 is a prime.

It is a super-2 number, since 2×3352130732 = 224735608620206658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335213003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 472443 + ... + 473151.

It is an arithmetic number, because the mean of its divisors is an integer number (13530825).

Almost surely, 2335213073 is an apocalyptic number.

It is an amenable number.

335213073 is a deficient number, since it is larger than the sum of its proper divisors (206019927).

335213073 is a wasteful number, since it uses less digits than its factorization.

335213073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 335213073 is about 18308.8250032600. The cubic root of 335213073 is about 694.6621707506.

The spelling of 335213073 in words is "three hundred thirty-five million, two hundred thirteen thousand, seventy-three".

Divisors: 1 3 9 13 27 39 81 117 351 449 709 1053 1347 2127 4041 5837 6381 9217 12123 17511 19143 27651 36369 52533 57429 82953 157599 248859 318341 472797 746577 955023 2865069 4138433 8595207 12415299 25785621 37245897 111737691 335213073