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81034320 = 24351013343
BaseRepresentation
bin1001101010001…
…11110001010000
312122110222012010
410311013301100
5131221044240
612012502520
72002531443
oct465076120
9178428163
1081034320
1141818314
122317aa40
1313a33103
14aa9565a
1571aa280
hex4d47c50

81034320 has 80 divisors (see below), whose sum is σ = 253769472. Its totient is φ = 21388800.

The previous prime is 81034273. The next prime is 81034321. The reversal of 81034320 is 2343018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×810343202 = 13133122035724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81034321) 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, 22569 + ... + 25911.

Almost surely, 281034320 is an apocalyptic number.

81034320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126884736).

81034320 is an abundant number, since it is smaller than the sum of its proper divisors (172735152).

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

81034320 is a wasteful number, since it uses less digits than its factorization.

81034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 81034320 is about 9001.9064647440. The cubic root of 81034320 is about 432.7359711121.

Adding to 81034320 its reverse (2343018), we get a palindrome (83377338).

The spelling of 81034320 in words is "eighty-one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 3343 4040 4848 6060 6686 8080 10029 12120 13372 16715 20058 24240 26744 33430 40116 50145 53488 66860 80232 100290 133720 160464 200580 267440 337643 401160 675286 802320 1012929 1350572 1688215 2025858 2701144 3376430 4051716 5064645 5402288 6752860 8103432 10129290 13505720 16206864 20258580 27011440 40517160 81034320