Search a number
-
+
3931434 = 2321353317
BaseRepresentation
bin1110111111110100101010
321101201220200
432333310222
52001301214
6220133030
745262623
oct16776452
97351820
103931434
112245821
121397176
13a785c0
14744a4a
15529d09
hex3bfd2a

3931434 has 48 divisors (see below), whose sum is σ = 9375912. Its totient is φ = 1183104.

The previous prime is 3931399. The next prime is 3931439. The reversal of 3931434 is 4341393.

It can be written as a sum of positive squares in 4 ways, for example, as 2117025 + 1814409 = 1455^2 + 1347^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3931398 and 3931407.

It is not an unprimeable number, because it can be changed into a prime (3931439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12244 + ... + 12560.

Almost surely, 23931434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3931434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687956).

3931434 is an abundant number, since it is smaller than the sum of its proper divisors (5444478).

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

3931434 is a wasteful number, since it uses less digits than its factorization.

3931434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3931434 is about 1982.7844058293. The cubic root of 3931434 is about 157.8278582380.

The spelling of 3931434 in words is "three million, nine hundred thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 317 318 477 634 689 951 954 1378 1902 2067 2853 4121 4134 5706 6201 8242 12363 12402 16801 24726 33602 37089 50403 74178 100806 151209 218413 302418 436826 655239 1310478 1965717 3931434