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397103040 = 26335194159
BaseRepresentation
bin10111101010110…
…100111111000000
31000200012220222000
4113222310333000
51303124244130
6103223144000
712561214545
oct2752647700
91020186860
10397103040
11194177434
12b0ba5000
1364368b19
143aa4cbcc
1524ce0260
hex17ab4fc0

397103040 has 448 divisors, whose sum is σ = 1536192000. Its totient is φ = 96215040.

The previous prime is 397103033. The next prime is 397103089. The reversal of 397103040 is 40301793.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 397102995 and 397103013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6730531 + ... + 6730589.

It is an arithmetic number, because the mean of its divisors is an integer number (3429000).

Almost surely, 2397103040 is an apocalyptic number.

397103040 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 397103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

397103040 is an abundant number, since it is smaller than the sum of its proper divisors (1139088960).

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

397103040 is a wasteful number, since it uses less digits than its factorization.

397103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 397103040 is about 19927.4443920940. Note that the first 3 decimals coincide. The cubic root of 397103040 is about 735.0232395817.

The spelling of 397103040 in words is "three hundred ninety-seven million, one hundred three thousand, forty".