Search a number
-
+
76320326340 = 22325424001813
BaseRepresentation
bin100011100010100001…
…0111100001011000100
321021222220011021200100
41013011002330023010
52222301000420330
655021105244100
75341201033026
oct1070502741304
9237886137610
1076320326340
112a40491a875
121295b633630
1372739aa01b
1439a01aa016
151eba420060
hex11c50bc2c4

76320326340 has 36 divisors (see below), whose sum is σ = 231504990444. Its totient is φ = 20352086976.

The previous prime is 76320326333. The next prime is 76320326347. The reversal of 76320326340 is 4362302367.

76320326340 is a `hidden beast` number, since 7 + 6 + 320 + 326 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (76320326333) and next prime (76320326347).

It can be written as a sum of positive squares in 2 ways, for example, as 42829130304 + 33491196036 = 206952^2 + 183006^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×763203263403 (a number of 34 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 76320326295 and 76320326304.

It is not an unprimeable number, because it can be changed into a prime (76320326347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212000727 + ... + 212001086.

It is an arithmetic number, because the mean of its divisors is an integer number (6430694179).

Almost surely, 276320326340 is an apocalyptic number.

It is an amenable number.

76320326340 is an abundant number, since it is smaller than the sum of its proper divisors (155184664104).

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

76320326340 is a wasteful number, since it uses less digits than its factorization.

76320326340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424001828 (or 424001823 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 76320326340 in words is "seventy-six billion, three hundred twenty million, three hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 424001813 848003626 1272005439 1696007252 2120009065 2544010878 3816016317 4240018130 5088021756 6360027195 7632032634 8480036260 12720054390 15264065268 19080081585 25440108780 38160163170 76320326340