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397822464 = 29321329229
BaseRepresentation
bin10111101101100…
…100101000000000
31000201120110211100
4113231210220000
51303320304324
6103250414400
712600302154
oct2755445000
91021513740
10397822464
111946189a6
12b1291400
136455b410
143ab99064
1524dd34c9
hex17b64a00

397822464 has 240 divisors, whose sum is σ = 1284683400. Its totient is φ = 117669888.

The previous prime is 397822463. The next prime is 397822471. The reversal of 397822464 is 464228793.

It can be written as a sum of positive squares in 4 ways, for example, as 359481600 + 38340864 = 18960^2 + 6192^2 .

It is not an unprimeable number, because it can be changed into a prime (397822463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737102 + ... + 1737330.

Almost surely, 2397822464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642341700).

397822464 is an abundant number, since it is smaller than the sum of its proper divisors (886860936).

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

397822464 is a wasteful number, since it uses less digits than its factorization.

397822464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 397822464 is about 19945.4873091634. The cubic root of 397822464 is about 735.4668476565.

The spelling of 397822464 in words is "three hundred ninety-seven million, eight hundred twenty-two thousand, four hundred sixty-four".