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397795104 = 25337175373
BaseRepresentation
bin10111101101011…
…101111100100000
31000201112002022000
4113231131330200
51303313420404
6103250044000
712600126330
oct2755357440
91021462260
10397795104
111945aa393
12b1279600
136454bb25
143ab8d0c0
1524dca339
hex17b5df20

397795104 has 384 divisors, whose sum is σ = 1450068480. Its totient is φ = 103514112.

The previous prime is 397795093. The next prime is 397795109. The reversal of 397795104 is 401597793.

It is a self number, because there is not a number n which added to its sum of digits gives 397795104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397795109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5449212 + ... + 5449284.

It is an arithmetic number, because the mean of its divisors is an integer number (3776220).

Almost surely, 2397795104 is an apocalyptic number.

397795104 is a gapful number since it is divisible by the number (34) 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 397795104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725034240).

397795104 is an abundant number, since it is smaller than the sum of its proper divisors (1052273376).

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

397795104 is a wasteful number, since it uses less digits than its factorization.

397795104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 397795104 is about 19944.8014279411. The cubic root of 397795104 is about 735.4499868404.

The spelling of 397795104 in words is "three hundred ninety-seven million, seven hundred ninety-five thousand, one hundred four".