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3405142332 = 22324119911593
BaseRepresentation
bin1100101011110110…
…0101100100111100
322210022101011010200
43022331211210330
523433204023312
61321520003500
7150245142444
oct31275454474
98708334120
103405142332
111498128919
127b0460590
13423606627
14244349124
1514de210dc
hexcaf6593c

3405142332 has 72 divisors (see below), whose sum is σ = 8862453600. Its totient is φ = 1101703680.

The previous prime is 3405142319. The next prime is 3405142333. The reversal of 3405142332 is 2332415043.

It is a junction number, because it is equal to n+sod(n) for n = 3405142296 and 3405142305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405142333) 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, 287928 + ... + 299520.

Almost surely, 23405142332 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 3405142332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431226800).

3405142332 is an abundant number, since it is smaller than the sum of its proper divisors (5457311268).

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

3405142332 is a wasteful number, since it uses less digits than its factorization.

3405142332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3405142332 is about 58353.5974212387. The cubic root of 3405142332 is about 1504.4523022611.

Adding to 3405142332 its reverse (2332415043), we get a palindrome (5737557375).

The spelling of 3405142332 in words is "three billion, four hundred five million, one hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 199 246 369 398 492 597 738 796 1194 1476 1791 2388 3582 7164 8159 11593 16318 23186 24477 32636 34779 46372 48954 69558 73431 97908 104337 139116 146862 208674 293724 417348 475313 950626 1425939 1901252 2307007 2851878 4277817 4614014 5703756 6921021 8555634 9228028 13842042 17111268 20763063 27684084 41526126 83052252 94587287 189174574 283761861 378349148 567523722 851285583 1135047444 1702571166 3405142332