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397403424 = 2532111747157
BaseRepresentation
bin10111101011111…
…110010100100000
31000200210012000100
4113223332110200
51303213402144
6103233422400
712563605365
oct2753762440
91020705010
10397403424
11194362090
12b110aa00
1364442772
143aaca46c
1524d4e269
hex17afe520

397403424 has 288 divisors, whose sum is σ = 1341639936. Its totient is φ = 110223360.

The previous prime is 397403389. The next prime is 397403429. The reversal of 397403424 is 424304793.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (397403429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531154 + ... + 2531310.

It is an arithmetic number, because the mean of its divisors is an integer number (4658472).

Almost surely, 2397403424 is an apocalyptic number.

397403424 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 397403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670819968).

397403424 is an abundant number, since it is smaller than the sum of its proper divisors (944236512).

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

397403424 is a wasteful number, since it uses less digits than its factorization.

397403424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 397403424 is about 19934.9799096964. The cubic root of 397403424 is about 735.2085261453.

The spelling of 397403424 in words is "three hundred ninety-seven million, four hundred three thousand, four hundred twenty-four".