Search a number
-
+
3411127940 = 2251127319309
BaseRepresentation
bin1100101101010001…
…1010111010000100
322210201122020211212
43023110122322010
523441222043230
61322252150552
7150350052263
oct31324327204
98721566755
103411127940
1114a0546a00
127b2468458
13424920bcc
142450665da
1514e704895
hexcb51ae84

3411127940 has 72 divisors (see below), whose sum is σ = 7982058840. Its totient is φ = 1223354880.

The previous prime is 3411127933. The next prime is 3411127957. The reversal of 3411127940 is 497211143.

It can be written as a sum of positive squares in 4 ways, for example, as 78605956 + 3332521984 = 8866^2 + 57728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3411127897 and 3411127906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167006 + ... + 186314.

Almost surely, 23411127940 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 3411127940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991029420).

3411127940 is an abundant number, since it is smaller than the sum of its proper divisors (4570930900).

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

3411127940 is a wasteful number, since it uses less digits than its factorization.

3411127940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19413 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 3411127940 is about 58404.8622975861. The cubic root of 3411127940 is about 1505.3333021917. Note that the first 4 decimals are identical.

The spelling of 3411127940 in words is "three billion, four hundred eleven million, one hundred twenty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 121 146 220 242 292 365 484 605 730 803 1210 1460 1606 2420 3212 4015 8030 8833 16060 17666 19309 35332 38618 44165 77236 88330 96545 176660 193090 212399 386180 424798 849596 1061995 1409557 2123990 2336389 2819114 4247980 4672778 5638228 7047785 9345556 11681945 14095570 15505127 23363890 28191140 31010254 46727780 62020508 77525635 155051270 170556397 310102540 341112794 682225588 852781985 1705563970 3411127940