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213949341 = 32711132963
BaseRepresentation
bin11001100000010…
…01101110011101
3112220120202022200
430300021232131
5414232334331
633121402113
75205353004
oct1460115635
9486522280
10213949341
11aa850341
125b799339
133542c658
14205b3c3b
1513bb25e6
hexcc09b9d

213949341 has 24 divisors (see below), whose sum is σ = 316270656. Its totient is φ = 139332480.

The previous prime is 213949297. The next prime is 213949343. The reversal of 213949341 is 143949312.

213949341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213949341 - 26 = 213949277 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 213949296 and 213949305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213949343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70726 + ... + 73688.

It is an arithmetic number, because the mean of its divisors is an integer number (13177944).

Almost surely, 2213949341 is an apocalyptic number.

It is an amenable number.

213949341 is a deficient number, since it is larger than the sum of its proper divisors (102321315).

213949341 is a wasteful number, since it uses less digits than its factorization.

213949341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3150 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 213949341 is about 14627.0072468704. The cubic root of 213949341 is about 598.0952009669.

The spelling of 213949341 in words is "two hundred thirteen million, nine hundred forty-nine thousand, three hundred forty-one".

Divisors: 1 3 9 71 113 213 339 639 1017 2963 8023 8889 24069 26667 72207 210373 334819 631119 1004457 1893357 3013371 23772149 71316447 213949341