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452400348 = 223296719403
BaseRepresentation
bin11010111101110…
…001010011011100
31011112021022121110
4122331301103130
51411303302343
6112520302020
714132224311
oct3275612334
91145238543
10452400348
11212406094
12107611910
137295a41a
1444124d08
1529ab4833
hex1af714dc

452400348 has 48 divisors (see below), whose sum is σ = 1108356480. Its totient is φ = 143419584.

The previous prime is 452400287. The next prime is 452400349. The reversal of 452400348 is 843004254.

It is a super-2 number, since 2×4524003482 = 409332149741042208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452400349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13615 + ... + 33017.

It is an arithmetic number, because the mean of its divisors is an integer number (23090760).

Almost surely, 2452400348 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 452400348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554178240).

452400348 is an abundant number, since it is smaller than the sum of its proper divisors (655956132).

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

452400348 is a wasteful number, since it uses less digits than its factorization.

452400348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19506 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 452400348 is about 21269.7049344837. The cubic root of 452400348 is about 767.6695423460.

The spelling of 452400348 in words is "four hundred fifty-two million, four hundred thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 804 1943 3886 5829 7772 11658 19403 23316 38806 58209 77612 116418 232836 562687 1125374 1300001 1688061 2250748 2600002 3376122 3900003 5200004 6752244 7800006 15600012 37700029 75400058 113100087 150800116 226200174 452400348