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452353440 = 253571112239
BaseRepresentation
bin11010111101100…
…101110110100000
31011112011221021010
4122331211312200
51411300302230
6112515300520
714131640460
oct3275456640
91145157233
10452353440
11212383920
121075aa740
1372941c76
1444111ba0
1529aa59b0
hex1af65da0

452353440 has 192 divisors, whose sum is σ = 1776660480. Its totient is φ = 93987840.

The previous prime is 452353417. The next prime is 452353469. The reversal of 452353440 is 44353254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 452353398 and 452353407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30841 + ... + 43079.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2452353440 is an apocalyptic number.

452353440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240).

452353440 is an abundant number, since it is smaller than the sum of its proper divisors (1324307040).

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

452353440 is a wasteful number, since it uses less digits than its factorization.

452353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12267 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 452353440 is about 21268.6022107707. The cubic root of 452353440 is about 767.6430089981.

The spelling of 452353440 in words is "four hundred fifty-two million, three hundred fifty-three thousand, four hundred forty".