Search a number
-
+
431396 = 22723171
BaseRepresentation
bin1101001010100100100
3210220202122
41221110210
5102301041
613125112
73444500
oct1512444
9726678
10431396
11275129
12189798
13121484
14b3300
1587c4b
hex69524

431396 has 36 divisors (see below), whose sum is σ = 919296. Its totient is φ = 176400.

The previous prime is 431381. The next prime is 431399. The reversal of 431396 is 693134.

It is a super-2 number, since 2×4313962 = 372205017632, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 431396.

It is not an unprimeable number, because it can be changed into a prime (431399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6041 + ... + 6111.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2431396 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 431396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

431396 is an abundant number, since it is smaller than the sum of its proper divisors (487900).

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

431396 is a wasteful number, since it uses less digits than its factorization.

431396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its digits is 1944, while the sum is 26.

The square root of 431396 is about 656.8074299214. The cubic root of 431396 is about 75.5600154358.

The spelling of 431396 in words is "four hundred thirty-one thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 49 62 71 98 124 142 196 217 284 434 497 868 994 1519 1988 2201 3038 3479 4402 6076 6958 8804 13916 15407 30814 61628 107849 215698 431396