Search a number
-
+
397432 = 23747151
BaseRepresentation
bin1100001000001111000
3202012011201
41201001320
5100204212
612303544
73243460
oct1410170
9665151
10397432
11251662
12171bb4
1310bb89
14a4ba0
157cb57
hex61078

397432 has 32 divisors (see below), whose sum is σ = 875520. Its totient is φ = 165600.

The previous prime is 397429. The next prime is 397433. The reversal of 397432 is 234793.

397432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 397432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2557 + ... + 2707.

It is an arithmetic number, because the mean of its divisors is an integer number (27360).

2397432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437760).

397432 is an abundant number, since it is smaller than the sum of its proper divisors (478088).

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

397432 is a wasteful number, since it uses less digits than its factorization.

397432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 397432 is about 630.4220808316. The cubic root of 397432 is about 73.5226147882.

The spelling of 397432 in words is "three hundred ninety-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 151 188 302 329 376 604 658 1057 1208 1316 2114 2632 4228 7097 8456 14194 28388 49679 56776 99358 198716 397432