Search a number
-
+
397019232 = 25383161
BaseRepresentation
bin10111101010100…
…000100001100000
31000200001200000000
4113222200201200
51303114103412
6103221300000
712560415321
oct2752404140
91020050000
10397019232
1119411a475
12b0b64600
136433992c
143aa2a448
1524cc54dc
hex17aa0860

397019232 has 216 divisors, whose sum is σ = 1230046272. Its totient is φ = 125971200.

The previous prime is 397019219. The next prime is 397019239. The reversal of 397019232 is 232910793.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397019239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6508482 + ... + 6508542.

Almost surely, 2397019232 is an apocalyptic number.

397019232 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 397019232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615023136).

397019232 is an abundant number, since it is smaller than the sum of its proper divisors (833027040).

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

397019232 is an frugal number, since it uses more digits than its factorization.

397019232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 397019232 is about 19925.3414525323. The cubic root of 397019232 is about 734.9715274268.

The spelling of 397019232 in words is "three hundred ninety-seven million, nineteen thousand, two hundred thirty-two".