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397124640 = 253351161137
BaseRepresentation
bin10111101010111…
…010010000100000
31000200021000121000
4113222322100200
51303130442030
6103223432000
712561334533
oct2752722040
91020230530
10397124640
11194191690
12b0bb5600
13643758c3
143aa56a1a
1524ce6860
hex17aba420

397124640 has 384 divisors, whose sum is σ = 1552400640. Its totient is φ = 94003200.

The previous prime is 397124639. The next prime is 397124653. The reversal of 397124640 is 46421793.

397124640 is a `hidden beast` number, since 3 + 9 + 7 + 1 + 2 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 397124595 and 397124604.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2898652 + ... + 2898788.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2397124640 is an apocalyptic number.

397124640 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 397124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776200320).

397124640 is an abundant number, since it is smaller than the sum of its proper divisors (1155276000).

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

397124640 is a wasteful number, since it uses less digits than its factorization.

397124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 397124640 is about 19927.9863508584. The cubic root of 397124640 is about 735.0365662774.

The spelling of 397124640 in words is "three hundred ninety-seven million, one hundred twenty-four thousand, six hundred forty".