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31421214 = 23211374289
BaseRepresentation
bin111011111011…
…1001100011110
32012010100210200
41313313030132
531020434324
63041244330
7531035016
oct167671436
965110720
1031421214
1116811250
12a6336a6
136681b46
14425cc46
152b59ec9
hex1df731e

31421214 has 48 divisors (see below), whose sum is σ = 76293360. Its totient is φ = 9262080.

The previous prime is 31421213. The next prime is 31421233. The reversal of 31421214 is 41212413.

31421214 is a `hidden beast` number, since 31 + 421 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5182 + ... + 9470.

It is an arithmetic number, because the mean of its divisors is an integer number (1589445).

Almost surely, 231421214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31421214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38146680).

31421214 is an abundant number, since it is smaller than the sum of its proper divisors (44872146).

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

31421214 is a wasteful number, since it uses less digits than its factorization.

31421214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4342 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 31421214 is about 5605.4628711642. The cubic root of 31421214 is about 315.5544580972.

Adding to 31421214 its reverse (41212413), we get a palindrome (72633627).

It can be divided in two parts, 3142 and 1214, that added together give a square (4356 = 662).

The spelling of 31421214 in words is "thirty-one million, four hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 4289 7326 8578 12867 25734 38601 47179 77202 94358 141537 158693 283074 317386 424611 476079 849222 952158 1428237 1745623 2856474 3491246 5236869 10473738 15710607 31421214