Search a number
-
+
3475351890 = 2325972571549
BaseRepresentation
bin1100111100100101…
…1010100101010010
322222012111011112200
43033021122211102
524104142230030
61332504504030
7152060001153
oct31711324522
98865434480
103475351890
11152382234a
1280ba7b016
1343501964a
1424d7c392a
1515518dd60
hexcf25a952

3475351890 has 96 divisors (see below), whose sum is σ = 9170506800. Its totient is φ = 913047552.

The previous prime is 3475351853. The next prime is 3475351897. The reversal of 3475351890 is 981535743.

3475351890 is a `hidden beast` number, since 3 + 47 + 5 + 3 + 518 + 90 = 666.

3475351890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2256155001 + 1219196889 = 47499^2 + 34917^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3475351897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2242836 + ... + 2244384.

Almost surely, 23475351890 is an apocalyptic number.

3475351890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3475351890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585253400).

3475351890 is an abundant number, since it is smaller than the sum of its proper divisors (5695154910).

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

3475351890 is a wasteful number, since it uses less digits than its factorization.

3475351890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3475351890 is about 58952.1152292265. The cubic root of 3475351890 is about 1514.7219827718.

The spelling of 3475351890 in words is "three billion, four hundred seventy-five million, three hundred fifty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 257 291 485 514 582 771 873 970 1285 1455 1542 1549 1746 2313 2570 2910 3098 3855 4365 4626 4647 7710 7745 8730 9294 11565 13941 15490 23130 23235 24929 27882 46470 49858 69705 74787 124645 139410 149574 150253 224361 249290 300506 373935 398093 448722 450759 747870 751265 796186 901518 1121805 1194279 1352277 1502530 1990465 2243610 2253795 2388558 2704554 3582837 3980930 4507590 5971395 6761385 7165674 11942790 13522770 17914185 35828370 38615021 77230042 115845063 193075105 231690126 347535189 386150210 579225315 695070378 1158450630 1737675945 3475351890