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31434318 = 234296691
BaseRepresentation
bin111011111101…
…0011001001110
32012011000210000
41313322121032
531021344233
63041425130
7531121146
oct167723116
965130700
1031434318
1116820083
12a63b1a6
136687ab6
144263926
152b5dd13
hex1dfa64e

31434318 has 40 divisors (see below), whose sum is σ = 72875880. Its totient is φ = 10115280.

The previous prime is 31434287. The next prime is 31434329. The reversal of 31434318 is 81343413.

31434318 is a `hidden beast` number, since 314 + 34 + 318 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31434291 and 31434300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1353 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (1821897).

Almost surely, 231434318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36437940).

31434318 is an abundant number, since it is smaller than the sum of its proper divisors (41441562).

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

31434318 is a wasteful number, since it uses less digits than its factorization.

31434318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6734 (or 6725 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 31434318 is about 5606.6316090858. The cubic root of 31434318 is about 315.5983186020.

The spelling of 31434318 in words is "thirty-one million, four hundred thirty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1566 2349 4698 6691 13382 20073 40146 60219 120438 180657 194039 361314 388078 541971 582117 1083942 1164234 1746351 3492702 5239053 10478106 15717159 31434318