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348006213 = 34113193197
BaseRepresentation
bin10100101111100…
…010011101000101
3220020211112210000
4110233202131011
51203042144323
654310551513
711424001242
oct2457423505
9806745700
10348006213
11169493245
1298668599
1357138849
143430c5c9
1520842e43
hex14be2745

348006213 has 40 divisors (see below), whose sum is σ = 529855128. Its totient is φ = 227598336.

The previous prime is 348006179. The next prime is 348006247. The reversal of 348006213 is 312600843.

It is a happy number.

348006213 is a `hidden beast` number, since 34 + 8 + 0 + 0 + 621 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (348006179) and next prime (348006247).

It can be written as a sum of positive squares in 4 ways, for example, as 21734244 + 326271969 = 4662^2 + 18063^2 .

It is not a de Polignac number, because 348006213 - 217 = 347875141 is a prime.

It is a super-2 number, since 2×3480062132 = 242216648573202738, 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 (348006313) 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, 1766431 + ... + 1766627.

Almost surely, 2348006213 is an apocalyptic number.

It is an amenable number.

348006213 is a deficient number, since it is larger than the sum of its proper divisors (181848915).

348006213 is a wasteful number, since it uses less digits than its factorization.

348006213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 348006213 is about 18654.9246313138. The cubic root of 348006213 is about 703.3891515239.

The spelling of 348006213 in words is "three hundred forty-eight million, six thousand, two hundred thirteen".

Divisors: 1 3 9 27 81 113 193 197 339 579 591 1017 1737 1773 3051 5211 5319 9153 15633 15957 21809 22261 38021 65427 66783 114063 196281 200349 342189 588843 601047 1026567 1766529 1803141 3079701 4296373 12889119 38667357 116002071 348006213