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654514340 = 2252910111173
BaseRepresentation
bin100111000000110…
…001100010100100
31200121120202212212
4213000301202210
52320023424330
6144540302552
722135165034
oct4700614244
91617522785
10654514340
11306502347
12163241a58
13a57a49bc
1462cd78c4
153c6da295
hex270318a4

654514340 has 48 divisors (see below), whose sum is σ = 1436082480. Its totient is φ = 250252800.

The previous prime is 654514291. The next prime is 654514351. The reversal of 654514340 is 43415456.

It can be written as a sum of positive squares in 8 ways, for example, as 30713764 + 623800576 = 5542^2 + 24976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 654514297 and 654514306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52994 + ... + 64166.

It is an arithmetic number, because the mean of its divisors is an integer number (29918385).

Almost surely, 2654514340 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 654514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718041240).

654514340 is an abundant number, since it is smaller than the sum of its proper divisors (781568140).

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

654514340 is a wasteful number, since it uses less digits than its factorization.

654514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11310 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 654514340 is about 25583.4778714701. The cubic root of 654514340 is about 868.2398641250.

Adding to 654514340 its reverse (43415456), we get a palindrome (697929796).

The spelling of 654514340 in words is "six hundred fifty-four million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 2020 2929 5858 11173 11716 14645 22346 29290 44692 55865 58580 111730 223460 324017 648034 1128473 1296068 1620085 2256946 3240170 4513892 5642365 6480340 11284730 22569460 32725717 65451434 130902868 163628585 327257170 654514340