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131884434 = 232112193187
BaseRepresentation
bin1111101110001…
…10010110010010
3100012011102102200
413313012112102
5232230300214
621030424030
73160666503
oct767062622
9305142380
10131884434
1168499800
1238202016
1321428436
1413730baa
15b8a1d09
hex7dc6592

131884434 has 72 divisors (see below), whose sum is σ = 330723120. Its totient is φ = 37849680.

The previous prime is 131884327. The next prime is 131884463. The reversal of 131884434 is 434488131.

131884434 is a `hidden beast` number, since 131 + 88 + 443 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39789 + ... + 42975.

Almost surely, 2131884434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131884434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165361560).

131884434 is an abundant number, since it is smaller than the sum of its proper divisors (198838686).

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

131884434 is a wasteful number, since it uses less digits than its factorization.

131884434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3222 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 131884434 is about 11484.0948271947. The cubic root of 131884434 is about 509.0157024553.

The spelling of 131884434 in words is "one hundred thirty-one million, eight hundred eighty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1881 2178 2299 3187 3762 4598 6374 6897 9561 13794 19122 20691 28683 35057 41382 57366 60553 70114 105171 121106 181659 210342 315513 363318 385627 544977 631026 666083 771254 1089954 1156881 1332166 1998249 2313762 3470643 3996498 5994747 6941286 7326913 11989494 14653826 21980739 43961478 65942217 131884434