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8234334540 = 22325172690959
BaseRepresentation
bin1111010101100110…
…11111100101001100
3210020212100112110100
413222303133211030
5113330442201130
63441030211100
7411024455145
oct75263374514
923225315410
108234334540
113546081463
1217197b3a90
13a12c5c303
14581866acc
15332d87c60
hex1eacdf94c

8234334540 has 72 divisors (see below), whose sum is σ = 26446754880. Its totient is φ = 2066655744.

The previous prime is 8234334533. The next prime is 8234334547. The reversal of 8234334540 is 454334328.

8234334540 is a `hidden beast` number, since 82 + 3 + 4 + 3 + 34 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (8234334533) and next prime (8234334547).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8234334495 and 8234334504.

It is not an unprimeable number, because it can be changed into a prime (8234334547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1342420 + ... + 1348539.

It is an arithmetic number, because the mean of its divisors is an integer number (367316040).

Almost surely, 28234334540 is an apocalyptic number.

It is an amenable number.

8234334540 is an abundant number, since it is smaller than the sum of its proper divisors (18212420340).

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

8234334540 is a wasteful number, since it uses less digits than its factorization.

8234334540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690991 (or 2690986 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 8234334540 is about 90743.2341279503. The cubic root of 8234334540 is about 2019.3402527998.

Adding to 8234334540 its reverse (454334328), we get a palindrome (8688668868).

The spelling of 8234334540 in words is "eight billion, two hundred thirty-four million, three hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 2690959 5381918 8072877 10763836 13454795 16145754 24218631 26909590 32291508 40364385 45746303 48437262 53819180 80728770 91492606 96874524 121093155 137238909 161457540 182985212 228731515 242186310 274477818 411716727 457463030 484372620 548955636 686194545 823433454 914926060 1372389090 1646866908 2058583635 2744778180 4117167270 8234334540