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397374120 = 2333511133183
BaseRepresentation
bin10111101011110…
…111001010101000
31000200201200211000
4113223313022220
51303211432440
6103233035000
712563424063
oct2753671250
91020650730
10397374120
11194342070
12b10b5a60
1364432320
143aabd8da
1524d45730
hex17af72a8

397374120 has 512 divisors, whose sum is σ = 1625702400. Its totient is φ = 85017600.

The previous prime is 397374083. The next prime is 397374121. The reversal of 397374120 is 21473793.

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 (397374121) 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 127 ways as a sum of consecutive naturals, for example, 4787599 + ... + 4787681.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2397374120 is an apocalyptic number.

397374120 is a gapful number since it is divisible by the number (30) 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 397374120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812851200).

397374120 is an abundant number, since it is smaller than the sum of its proper divisors (1228328280).

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

397374120 is a wasteful number, since it uses less digits than its factorization.

397374120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 397374120 is about 19934.2449066926. The cubic root of 397374120 is about 735.1904546015.

The spelling of 397374120 in words is "three hundred ninety-seven million, three hundred seventy-four thousand, one hundred twenty".