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81634374 = 23217192739
BaseRepresentation
bin1001101110110…
…10010001000110
312200121110022100
410313122101012
5131344244444
612033412530
72010611043
oct467322106
9180543270
1081634374
1142098128
122340a146
1313bb3283
14abb01ca
157277e69
hex4dda446

81634374 has 72 divisors (see below), whose sum is σ = 197921880. Its totient is φ = 24230016.

The previous prime is 81634369. The next prime is 81634387. The reversal of 81634374 is 47343618.

81634374 = 10622 + 10632 + ... + 11292.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110097 + ... + 110835.

It is an arithmetic number, because the mean of its divisors is an integer number (2748915).

Almost surely, 281634374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81634374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98960940).

81634374 is an abundant number, since it is smaller than the sum of its proper divisors (116287506).

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

81634374 is a wasteful number, since it uses less digits than its factorization.

81634374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 780 counting only the distinct ones).

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

The square root of 81634374 is about 9035.1742650599. The cubic root of 81634374 is about 433.8014729061.

The spelling of 81634374 in words is "eighty-one million, six hundred thirty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 361 646 722 739 969 1083 1478 1938 2166 2217 2907 3249 4434 5814 6137 6498 6651 12274 12563 13302 14041 18411 25126 28082 36822 37689 42123 55233 75378 84246 110466 113067 126369 226134 238697 252738 266779 477394 533558 716091 800337 1432182 1600674 2148273 2401011 4296546 4535243 4802022 9070486 13605729 27211458 40817187 81634374