Search a number
-
+
31435104 = 253476967
BaseRepresentation
bin111011111101…
…0100101100000
32012011001212010
41313322211200
531021410404
63041432520
7531123351
oct167724540
965131763
1031435104
1116820728
12a63b740
13668826c
144263d28
152b5e189
hex1dfa960

31435104 has 48 divisors (see below), whose sum is σ = 84284928. Its totient is φ = 10253952.

The previous prime is 31435087. The next prime is 31435109. The reversal of 31435104 is 40153413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31435109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1029 + ... + 7995.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 231435104 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 31435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42142464).

31435104 is an abundant number, since it is smaller than the sum of its proper divisors (52849824).

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

31435104 is a wasteful number, since it uses less digits than its factorization.

31435104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 31435104 is about 5606.7017042108. The cubic root of 31435104 is about 315.6009490414.

Adding to 31435104 its reverse (40153413), we get a palindrome (71588517).

The spelling of 31435104 in words is "thirty-one million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 6967 13934 20901 27868 41802 55736 83604 111472 167208 222944 327449 334416 654898 668832 982347 1309796 1964694 2619592 3929388 5239184 7858776 10478368 15717552 31435104