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452328240 = 2435713139149
BaseRepresentation
bin11010111101011…
…111101100110000
31011112010122200210
4122331133230300
51411244000430
6112514544120
714131504140
oct3275375460
91145118623
10452328240
112123669a1
12107598040
1372933660
1444106920
1529a9d2b0
hex1af5fb30

452328240 has 320 divisors, whose sum is σ = 1749888000. Its totient is φ = 94113792.

The previous prime is 452328211. The next prime is 452328263. The reversal of 452328240 is 42823254.

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 = 452328198 and 452328207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3035686 + ... + 3035834.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2452328240 is an apocalyptic number.

452328240 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 452328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944000).

452328240 is an abundant number, since it is smaller than the sum of its proper divisors (1297559760).

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

452328240 is a wasteful number, since it uses less digits than its factorization.

452328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

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

The square root of 452328240 is about 21268.0097799489. The cubic root of 452328240 is about 767.6287539478.

The spelling of 452328240 in words is "four hundred fifty-two million, three hundred twenty-eight thousand, two hundred forty".