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3105439092 = 2232729718149
BaseRepresentation
bin1011100100011001…
…0011110101110100
322000102102122120200
42321012103311310
522324443022332
61232052200500
7136645540200
oct27106236564
98012378520
103105439092
111353a37398
12728009130
133a64b0932
14216611b00
1513297017c
hexb9193d74

3105439092 has 108 divisors (see below), whose sum is σ = 9226116900. Its totient is φ = 878072832.

The previous prime is 3105439087. The next prime is 3105439121. The reversal of 3105439092 is 2909345013.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1134611856 + 1970827236 = 33684^2 + 44394^2 .

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 162034 + ... + 180182.

Almost surely, 23105439092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105439092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613058450).

3105439092 is an abundant number, since it is smaller than the sum of its proper divisors (6120677808).

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

3105439092 is a wasteful number, since it uses less digits than its factorization.

3105439092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3105439092 is about 55726.4667101728. The cubic root of 3105439092 is about 1458.9520051646.

The spelling of 3105439092 in words is "three billion, one hundred five million, four hundred thirty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 97 98 126 147 194 196 252 291 294 388 441 582 588 679 873 882 1164 1358 1746 1764 2037 2716 3492 4074 4753 6111 8148 9506 12222 14259 18149 19012 24444 28518 36298 42777 54447 57036 72596 85554 108894 127043 163341 171108 217788 254086 326682 381129 508172 653364 762258 889301 1143387 1524516 1760453 1778602 2286774 2667903 3520906 3557204 4573548 5281359 5335806 7041812 8003709 10562718 10671612 12323171 15844077 16007418 21125436 24646342 31688154 32014836 36969513 49292684 63376308 73939026 86262197 110908539 147878052 172524394 221817078 258786591 345048788 443634156 517573182 776359773 1035146364 1552719546 3105439092