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451344340 = 225432691951
BaseRepresentation
bin11010111001101…
…111011111010100
31011110021200001001
4122321233133110
51411021004330
6112441513044
714120235466
oct3271573724
91143250031
10451344340
11211854757
121071a2784
137267a875
1443d2c136
15299569ca
hex1ae6f7d4

451344340 has 48 divisors (see below), whose sum is σ = 973969920. Its totient is φ = 175593600.

The previous prime is 451344331. The next prime is 451344353. The reversal of 451344340 is 43443154.

It is a junction number, because it is equal to n+sod(n) for n = 451344299 and 451344308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230365 + ... + 232315.

It is an arithmetic number, because the mean of its divisors is an integer number (20291040).

Almost surely, 2451344340 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 451344340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486984960).

451344340 is an abundant number, since it is smaller than the sum of its proper divisors (522625580).

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

451344340 is a wasteful number, since it uses less digits than its factorization.

451344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 451344340 is about 21244.8662033914. The cubic root of 451344340 is about 767.0717703641.

Adding to 451344340 its reverse (43443154), we get a palindrome (494787494).

The spelling of 451344340 in words is "four hundred fifty-one million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 269 430 538 860 1076 1345 1951 2690 3902 5380 7804 9755 11567 19510 23134 39020 46268 57835 83893 115670 167786 231340 335572 419465 524819 838930 1049638 1677860 2099276 2624095 5248190 10496380 22567217 45134434 90268868 112836085 225672170 451344340