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131714334 = 232172391801
BaseRepresentation
bin1111101100111…
…00110100011110
3100011211210002200
413312130310132
5232204324314
621023032330
73156360543
oct766346436
9304753080
10131714334
1168392a24
123813b6a6
1321398b9b
14136c8bca
15b86b709
hex7d9cd1e

131714334 has 48 divisors (see below), whose sum is σ = 303600960. Its totient is φ = 41126400.

The previous prime is 131714333. The next prime is 131714357. The reversal of 131714334 is 433417131.

131714334 is a `hidden beast` number, since 1 + 317 + 14 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131714298 and 131714307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131714333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72234 + ... + 74034.

It is an arithmetic number, because the mean of its divisors is an integer number (6325020).

Almost surely, 2131714334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131714334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151800480).

131714334 is an abundant number, since it is smaller than the sum of its proper divisors (171886626).

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

131714334 is a wasteful number, since it uses less digits than its factorization.

131714334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2062 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 131714334 is about 11476.6865427265. The cubic root of 131714334 is about 508.7967713320.

It can be divided in two parts, 1317 and 14334, that added together give a palindrome (15651).

The spelling of 131714334 in words is "one hundred thirty-one million, seven hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 239 306 478 717 1434 1801 2151 3602 4063 4302 5403 8126 10806 12189 16209 24378 30617 32418 36567 61234 73134 91851 183702 275553 430439 551106 860878 1291317 2582634 3873951 7317463 7747902 14634926 21952389 43904778 65857167 131714334