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3133418940 = 2232517407883
BaseRepresentation
bin1011101011000100…
…0010110110111100
322002101002011201100
42322301002312330
522404123401230
61234532013100
7140435423121
oct27261026674
98071064640
103133418940
111368808033
12735461190
133ac229262
1421a216748
1513514a660
hexbac42dbc

3133418940 has 36 divisors (see below), whose sum is σ = 9504704664. Its totient is φ = 835578336.

The previous prime is 3133418933. The next prime is 3133418947. The reversal of 3133418940 is 498143313.

It is an interprime number because it is at equal distance from previous prime (3133418933) and next prime (3133418947).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3133418895 and 3133418904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133418947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8703762 + ... + 8704121.

It is an arithmetic number, because the mean of its divisors is an integer number (264019574).

Almost surely, 23133418940 is an apocalyptic number.

3133418940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3133418940 is an abundant number, since it is smaller than the sum of its proper divisors (6371285724).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3133418940 is a wasteful number, since it uses less digits than its factorization.

3133418940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407898 (or 17407893 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3133418940 is about 55976.9500776882. The cubic root of 3133418940 is about 1463.3206054394.

The spelling of 3133418940 in words is "three billion, one hundred thirty-three million, four hundred eighteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17407883 34815766 52223649 69631532 87039415 104447298 156670947 174078830 208894596 261118245 313341894 348157660 522236490 626683788 783354735 1044472980 1566709470 3133418940