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3416253309 = 327173189779
BaseRepresentation
bin1100101110011111…
…1110001101111101
322211002021122112100
43023213332031331
523444030101214
61322554055313
7150441450120
oct31347761575
98732248470
103416253309
1114a3427747
127b411a539
134259c6a81
142459dc3b7
1514edb8309
hexcb9fe37d

3416253309 has 24 divisors (see below), whose sum is σ = 5971268160. Its totient is φ = 1837312128.

The previous prime is 3416253283. The next prime is 3416253353. The reversal of 3416253309 is 9033526143.

It is a happy number.

3416253309 is a `hidden beast` number, since 341 + 6 + 2 + 5 + 3 + 309 = 666.

It is not a de Polignac number, because 3416253309 - 219 = 3415729021 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416251309) 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, 1593819 + ... + 1595960.

It is an arithmetic number, because the mean of its divisors is an integer number (248802840).

Almost surely, 23416253309 is an apocalyptic number.

It is an amenable number.

3416253309 is a deficient number, since it is larger than the sum of its proper divisors (2555014851).

3416253309 is a wasteful number, since it uses less digits than its factorization.

3416253309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189809 (or 3189806 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3416253309 is about 58448.7237585219. The cubic root of 3416253309 is about 1506.0868679489.

The spelling of 3416253309 in words is "three billion, four hundred sixteen million, two hundred fifty-three thousand, three hundred nine".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 3189779 9569337 22328453 28708011 54226243 66985359 162678729 200956077 379583701 488036187 1138751103 3416253309