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897328320 = 26357671993
BaseRepresentation
bin110101011111000…
…010010011000000
32022112111000001020
4311133002103000
53314204001240
6225012505440
731144110360
oct6537022300
92275430036
10897328320
11420578059
1221061b280
13113b9c605
14872629a0
1553ba00d0
hex357c24c0

897328320 has 224 divisors, whose sum is σ = 3306275328. Its totient is φ = 201940992.

The previous prime is 897328309. The next prime is 897328321. The reversal of 897328320 is 23823798.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8973283202 = 1610396227748044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (897328321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449244 + ... + 451236.

Almost surely, 2897328320 is an apocalyptic number.

897328320 is a gapful number since it is divisible by the number (80) 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 897328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653137664).

897328320 is an abundant number, since it is smaller than the sum of its proper divisors (2408947008).

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

897328320 is a wasteful number, since it uses less digits than its factorization.

897328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 897328320 is about 29955.4389051471. The cubic root of 897328320 is about 964.5330752280.

The spelling of 897328320 in words is "eight hundred ninety-seven million, three hundred twenty-eight thousand, three hundred twenty".