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397255680 = 21032537233
BaseRepresentation
bin10111101011011…
…010010000000000
31000200111200100100
4113223122100000
51303144140210
6103230322400
712562421553
oct2753322000
91020450310
10397255680
11194271088
12b1059400
13643c0443
143aa8c69a
1524d205c0
hex17ada400

397255680 has 264 divisors, whose sum is σ = 1419750072. Its totient is φ = 102629376.

The previous prime is 397255657. The next prime is 397255697. The reversal of 397255680 is 86552793.

It is a happy number.

397255680 is a `hidden beast` number, since 3 + 97 + 2 + 556 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 57517056 + 339738624 = 7584^2 + 18432^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704844 + ... + 1705076.

Almost surely, 2397255680 is an apocalyptic number.

397255680 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 397255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709875036).

397255680 is an abundant number, since it is smaller than the sum of its proper divisors (1022494392).

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

397255680 is a wasteful number, since it uses less digits than its factorization.

397255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 397255680 is about 19931.2739181418. The cubic root of 397255680 is about 735.1174045413.

The spelling of 397255680 in words is "three hundred ninety-seven million, two hundred fifty-five thousand, six hundred eighty".