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397243392 = 2103731329
BaseRepresentation
bin10111101011010…
…111010000000000
31000200111001111020
4113223113100000
51303143242032
6103230145440
712562341000
oct2753272000
91020431436
10397243392
11194262927
12b1052280
13643b7980
143aa88000
1524d1bb2c
hex17ad7400

397243392 has 352 divisors, whose sum is σ = 1375584000. Its totient is φ = 101154816.

The previous prime is 397243349. The next prime is 397243397. The reversal of 397243392 is 293342793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (244944) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397243397) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13698034 + ... + 13698062.

Almost surely, 2397243392 is an apocalyptic number.

397243392 is a gapful number since it is divisible by the number (32) 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 397243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687792000).

397243392 is an abundant number, since it is smaller than the sum of its proper divisors (978340608).

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

397243392 is a wasteful number, since it uses less digits than its factorization.

397243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 54 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 397243392 is about 19930.9656564854. The cubic root of 397243392 is about 735.1098248588.

The spelling of 397243392 in words is "three hundred ninety-seven million, two hundred forty-three thousand, three hundred ninety-two".