Search a number
-
+
141476346 = 232112173821
BaseRepresentation
bin10000110111011…
…00000111111010
3100212012202001200
420123230013322
5242204220341
622012155030
73335346324
oct1033540772
9325182050
10141476346
1172950300
123b468a76
132340631b
1414b0a614
15c648db6
hex86ec1fa

141476346 has 72 divisors (see below), whose sum is σ = 356844852. Its totient is φ = 40339200.

The previous prime is 141476341. The next prime is 141476347. The reversal of 141476346 is 643674141.

141476346 is a `hidden beast` number, since 1 + 4 + 14 + 7 + 634 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 122213025 + 19263321 = 11055^2 + 4389^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 141476346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141476341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35116 + ... + 38936.

Almost surely, 2141476346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141476346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178422426).

141476346 is an abundant number, since it is smaller than the sum of its proper divisors (215368506).

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

141476346 is a wasteful number, since it uses less digits than its factorization.

141476346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3854 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 141476346 is about 11894.3829600362. The cubic root of 141476346 is about 521.0682502141.

The spelling of 141476346 in words is "one hundred forty-one million, four hundred seventy-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 121 153 187 198 242 306 363 374 561 726 1089 1122 1683 2057 2178 3366 3821 4114 6171 7642 11463 12342 18513 22926 34389 37026 42031 64957 68778 84062 126093 129914 194871 252186 378279 389742 462341 584613 714527 756558 924682 1169226 1387023 1429054 2143581 2774046 4161069 4287162 6430743 7859797 8322138 12861486 15719594 23579391 47158782 70738173 141476346