Search a number
-
+
1342001778 = 2313732111117
BaseRepresentation
bin100111111111101…
…0101001001110010
310110112012202100120
41033333111021302
510222023024103
6341055431110
745153553425
oct11777251162
93415182316
101342001778
11629585887
12315525496
131850529c0
14ca3359bc
157cc3a253
hex4ffd5272

1342001778 has 64 divisors (see below), whose sum is σ = 2946582912. Its totient is φ = 404974080.

The previous prime is 1342001681. The next prime is 1342001797. The reversal of 1342001778 is 8771002431.

It is a happy number.

It is a super-2 number, since 2×13420017782 = 3601937544310322568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200876 + ... + 1201992.

It is an arithmetic number, because the mean of its divisors is an integer number (46040358).

Almost surely, 21342001778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342001778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473291456).

1342001778 is an abundant number, since it is smaller than the sum of its proper divisors (1604581134).

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

1342001778 is a wasteful number, since it uses less digits than its factorization.

1342001778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 1342001778 is about 36633.3424355463. The cubic root of 1342001778 is about 1103.0224803334.

The spelling of 1342001778 in words is "one billion, three hundred forty-two million, one thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 73 78 146 211 219 422 438 633 949 1117 1266 1898 2234 2743 2847 3351 5486 5694 6702 8229 14521 15403 16458 29042 30806 43563 46209 81541 87126 92418 163082 200239 235687 244623 400478 471374 489246 600717 707061 1060033 1201434 1414122 2120066 3063931 3180099 6127862 6360198 9191793 17205151 18383586 34410302 51615453 103230906 223666963 447333926 671000889 1342001778