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3413243313 = 33314077949
BaseRepresentation
bin1100101101110001…
…1111010110110001
322210212121201121000
43023130133112301
523442242241223
61322405352213
7150404042454
oct31334372661
98725551530
103413243313
1114a1761247
127b3108669
134251b19cc
1424545749b
1514e9c1543
hexcb71f5b1

3413243313 has 16 divisors (see below), whose sum is σ = 5219776000. Its totient is φ = 2202091920.

The previous prime is 3413243287. The next prime is 3413243359. The reversal of 3413243313 is 3133423143.

3413243313 is a `hidden beast` number, since 3 + 4 + 1 + 324 + 331 + 3 = 666.

It is not a de Polignac number, because 3413243313 - 29 = 3413242801 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3413243413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2038138 + ... + 2039811.

It is an arithmetic number, because the mean of its divisors is an integer number (326236000).

Almost surely, 23413243313 is an apocalyptic number.

It is an amenable number.

3413243313 is a deficient number, since it is larger than the sum of its proper divisors (1806532687).

3413243313 is a wasteful number, since it uses less digits than its factorization.

3413243313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077989 (or 4077983 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 3413243313 is about 58422.9690532756. The cubic root of 3413243313 is about 1505.6444097844.

Adding to 3413243313 its reverse (3133423143), we get a palindrome (6546666456).

The spelling of 3413243313 in words is "three billion, four hundred thirteen million, two hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 9 27 31 93 279 837 4077949 12233847 36701541 110104623 126416419 379249257 1137747771 3413243313