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450734260 = 225175325013
BaseRepresentation
bin11010110111011…
…010100010110100
31011102010200011111
4122313122202310
51410341444020
6112420444404
714112115024
oct3267324264
91142120144
10450734260
11211478359
12106b49704
13724c5c82
1443c0da84
1529885d5a
hex1adda8b4

450734260 has 48 divisors (see below), whose sum is σ = 1021171536. Its totient is φ = 166479872.

The previous prime is 450734257. The next prime is 450734281. The reversal of 450734260 is 62437054.

It can be written as a sum of positive squares in 8 ways, for example, as 118984464 + 331749796 = 10908^2 + 18214^2 .

It is a super-2 number, since 2×4507342602 = 406322746275495200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5514 + ... + 30526.

It is an arithmetic number, because the mean of its divisors is an integer number (21274407).

Almost surely, 2450734260 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 450734260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510585768).

450734260 is an abundant number, since it is smaller than the sum of its proper divisors (570437276).

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

450734260 is a wasteful number, since it uses less digits than its factorization.

450734260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092 (or 25090 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 450734260 is about 21230.5030557451. The cubic root of 450734260 is about 766.7259987688.

The spelling of 450734260 in words is "four hundred fifty million, seven hundred thirty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 18020 25013 50026 100052 125065 250130 425221 500260 850442 1325689 1700884 2126105 2651378 4252210 5302756 6628445 8504420 13256890 22536713 26513780 45073426 90146852 112683565 225367130 450734260