Search a number
-
+
1342175076 = 22331139337
BaseRepresentation
bin100111111111111…
…1111011101100100
310110112112120002000
41033333333131210
510222044100301
6341103245300
745155204604
oct11777773544
93415476060
101342175076
11629694000
123155a9830
131850b3848
14ca37cc04
157cc71786
hex4ffff764

1342175076 has 96 divisors (see below), whose sum is σ = 3827832960. Its totient is φ = 406676160.

The previous prime is 1342175069. The next prime is 1342175119. The reversal of 1342175076 is 6705712431.

It is a happy number.

1342175076 is a `hidden beast` number, since 134 + 2 + 17 + 507 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1342175076.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139080 + ... + 148416.

It is an arithmetic number, because the mean of its divisors is an integer number (39873260).

Almost surely, 21342175076 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 1342175076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913916480).

1342175076 is an abundant number, since it is smaller than the sum of its proper divisors (2485657884).

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

1342175076 is a wasteful number, since it uses less digits than its factorization.

1342175076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9383 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1342175076 is about 36635.7076634259. The cubic root of 1342175076 is about 1103.0699575090.

The spelling of 1342175076 in words is "one billion, three hundred forty-two million, one hundred seventy-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1331 1452 2178 2662 3267 3993 4356 5324 6534 7986 9337 11979 13068 15972 18674 23958 28011 35937 37348 47916 56022 71874 84033 102707 112044 143748 168066 205414 252099 308121 336132 410828 504198 616242 924363 1008396 1129777 1232484 1848726 2259554 2773089 3389331 3697452 4519108 5546178 6778662 10167993 11092356 12427547 13557324 20335986 24855094 30503979 37282641 40671972 49710188 61007958 74565282 111847923 122015916 149130564 223695846 335543769 447391692 671087538 1342175076