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31414284 = 22331131853
BaseRepresentation
bin111011111010…
…1100000001100
32012010000022000
41313311200030
531020224114
63041152300
7531005556
oct167654014
965100260
1031414284
1116807020
12a62b690
13667b945
14425a4d6
152b57e09
hex1df580c

31414284 has 96 divisors (see below), whose sum is σ = 91822080. Its totient is φ = 9201600.

The previous prime is 31414267. The next prime is 31414289. The reversal of 31414284 is 48241413.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (31414289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36402 + ... + 37254.

It is an arithmetic number, because the mean of its divisors is an integer number (956480).

Almost surely, 231414284 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 31414284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45911040).

31414284 is an abundant number, since it is smaller than the sum of its proper divisors (60407796).

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

31414284 is a wasteful number, since it uses less digits than its factorization.

31414284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 31414284 is about 5604.8446900873. The cubic root of 31414284 is about 315.5312577080.

Adding to 31414284 its reverse (48241413), we get a palindrome (79655697).

The spelling of 31414284 in words is "thirty-one million, four hundred fourteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 853 1023 1116 1188 1364 1674 1706 2046 2559 3069 3348 3412 4092 5118 6138 7677 9207 9383 10236 12276 15354 18414 18766 23031 26443 28149 30708 36828 37532 46062 52886 56298 79329 84447 92124 105772 112596 158658 168894 237987 253341 290873 317316 337788 475974 506682 581746 713961 872619 951948 1013364 1163492 1427922 1745238 2617857 2855844 3490476 5235714 7853571 10471428 15707142 31414284