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453214080 = 273251123311
BaseRepresentation
bin11011000000110…
…111111110000000
31011120210122211200
4123000313332000
51412010322310
6112545541200
714142153564
oct3300677600
91146718750
10453214080
112129114a0
12107944800
1372b83917
14442976a4
1529bc59c0
hex1b037f80

453214080 has 384 divisors, whose sum is σ = 1787235840. Its totient is φ = 104755200.

The previous prime is 453214051. The next prime is 453214081. The reversal of 453214080 is 80412354.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453214081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1457125 + ... + 1457435.

It is an arithmetic number, because the mean of its divisors is an integer number (4654260).

Almost surely, 2453214080 is an apocalyptic number.

453214080 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 453214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893617920).

453214080 is an abundant number, since it is smaller than the sum of its proper divisors (1334021760).

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

453214080 is a wasteful number, since it uses less digits than its factorization.

453214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 453214080 is about 21288.8252376687. The cubic root of 453214080 is about 768.1295354422.

The spelling of 453214080 in words is "four hundred fifty-three million, two hundred fourteen thousand, eighty".