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397486080 = 21132519227
BaseRepresentation
bin10111101100010…
…010100000000000
31000200221101101200
4113230102200000
51303224023310
6103235301200
712564401355
oct2754224000
91020841350
10397486080
111944091a2
12b114a800
1364471284
143ab0c62c
1524d689c0
hex17b12800

397486080 has 288 divisors, whose sum is σ = 1456509600. Its totient is φ = 99975168.

The previous prime is 397486073. The next prime is 397486081. The reversal of 397486080 is 80684793.

It is a happy number.

397486080 is a `hidden beast` number, since 3 + 97 + 486 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (397486081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750927 + ... + 1751153.

It is an arithmetic number, because the mean of its divisors is an integer number (5057325).

Almost surely, 2397486080 is an apocalyptic number.

397486080 is a gapful number since it is divisible by the number (30) 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 397486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728254800).

397486080 is an abundant number, since it is smaller than the sum of its proper divisors (1059023520).

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

397486080 is a wasteful number, since it uses less digits than its factorization.

397486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 397486080 is about 19937.0529416963. The cubic root of 397486080 is about 735.2594946571.

The spelling of 397486080 in words is "three hundred ninety-seven million, four hundred eighty-six thousand, eighty".