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81434712 = 2335373877
BaseRepresentation
bin1001101101010…
…01100001011000
312200020022102110
410312221201120
5131321402322
612025232320
72006116662
oct466514130
9180208373
1081434712
1141a71117
12233326a0
1313b43428
14ab5b532
157238c0c
hex4da9858

81434712 has 64 divisors (see below), whose sum is σ = 210509280. Its totient is φ = 26237952.

The previous prime is 81434707. The next prime is 81434713. The reversal of 81434712 is 21743418.

It is a super-2 number, since 2×814347122 = 13263224637045888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 81434712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81434713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92418 + ... + 93294.

Almost surely, 281434712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81434712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105254640).

81434712 is an abundant number, since it is smaller than the sum of its proper divisors (129074568).

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

81434712 is a wasteful number, since it uses less digits than its factorization.

81434712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 81434712 is about 9024.1183502877. The cubic root of 81434712 is about 433.4475191527.

The spelling of 81434712 in words is "eighty-one million, four hundred thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 73 106 146 159 212 219 292 318 424 438 584 636 876 877 1272 1752 1754 2631 3508 3869 5262 7016 7738 10524 11607 15476 21048 23214 30952 46428 46481 64021 92856 92962 128042 139443 185924 192063 256084 278886 371848 384126 512168 557772 768252 1115544 1536504 3393113 6786226 10179339 13572452 20358678 27144904 40717356 81434712