Search a number
-
+
397688940 = 223551143173
BaseRepresentation
bin10111101101000…
…100000001101100
31000201022200200000
4113231010001230
51303302021230
6103243504300
712566204655
oct2755040154
91021280600
10397688940
11194537650
12b1228090
13645126cc
143ab6252c
1524da8b60
hex17b4406c

397688940 has 288 divisors, whose sum is σ = 1404539136. Its totient is φ = 93623040.

The previous prime is 397688911. The next prime is 397688953. The reversal of 397688940 is 49886793.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2298694 + ... + 2298866.

It is an arithmetic number, because the mean of its divisors is an integer number (4876872).

Almost surely, 2397688940 is an apocalyptic number.

397688940 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 397688940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702269568).

397688940 is an abundant number, since it is smaller than the sum of its proper divisors (1006850196).

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

397688940 is a wasteful number, since it uses less digits than its factorization.

397688940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 397688940 is about 19942.1398049457. The cubic root of 397688940 is about 735.3845551156.

The spelling of 397688940 in words is "three hundred ninety-seven million, six hundred eighty-eight thousand, nine hundred forty".