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70353 = 327817
BaseRepresentation
bin10001001011010001
310120111200
4101023101
54222403
61301413
7412053
oct211321
9116450
1070353
1148948
1234869
132603a
141b8d3
1515ca3
hex112d1

70353 has 6 divisors (see below), whose sum is σ = 101634. Its totient is φ = 46896.

The previous prime is 70351. The next prime is 70373. The reversal of 70353 is 35307.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 33489 = 192^2 + 183^2 .

It is not a de Polignac number, because 70353 - 21 = 70351 is a prime.

70353 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70353.

It is not an unprimeable number, because it can be changed into a prime (70351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3900 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (16939).

270353 is an apocalyptic number.

It is an amenable number.

70353 is a deficient number, since it is larger than the sum of its proper divisors (31281).

70353 is a wasteful number, since it uses less digits than its factorization.

70353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7823 (or 7820 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 70353 is about 265.2413994836. The cubic root of 70353 is about 41.2820137155.

The spelling of 70353 in words is "seventy thousand, three hundred fifty-three".

Divisors: 1 3 9 7817 23451 70353