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397941984 = 25341117821
BaseRepresentation
bin10111101110000…
…001110011100000
31000201210112210000
4113232001303200
51303333120414
6103253140000
712601310466
oct2756016340
91021715700
10397941984
1119469a780
12b132a600
13645a093b
143abca836
1524e08b09
hex17b81ce0

397941984 has 240 divisors, whose sum is σ = 1353478896. Its totient is φ = 113356800.

The previous prime is 397941983. The next prime is 397941989. The reversal of 397941984 is 489149793.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 397941984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397941983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484294 + ... + 485114.

Almost surely, 2397941984 is an apocalyptic number.

397941984 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 397941984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676739448).

397941984 is an abundant number, since it is smaller than the sum of its proper divisors (955536912).

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

397941984 is a wasteful number, since it uses less digits than its factorization.

397941984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 854 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 397941984 is about 19948.4832506133. The cubic root of 397941984 is about 735.5404937374.

The spelling of 397941984 in words is "three hundred ninety-seven million, nine hundred forty-one thousand, nine hundred eighty-four".