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31379484 = 22317193797
BaseRepresentation
bin111011110110…
…1000000011100
32012001020120010
41313231000130
531013120414
63040323220
7530502243
oct167550034
965036503
1031379484
1116792964
12a613510
136668b56
14424b95a
152b4c959
hex1ded01c

31379484 has 48 divisors (see below), whose sum is σ = 78025248. Its totient is φ = 9781248.

The previous prime is 31379483. The next prime is 31379497. The reversal of 31379484 is 48497313.

It is a super-2 number, since 2×313794842 = 1969344032212512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31379483) 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 15 ways as a sum of consecutive naturals, for example, 38974 + ... + 39770.

It is an arithmetic number, because the mean of its divisors is an integer number (1625526).

Almost surely, 231379484 is an apocalyptic number.

31379484 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31379484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012624).

31379484 is an abundant number, since it is smaller than the sum of its proper divisors (46645764).

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

31379484 is a wasteful number, since it uses less digits than its factorization.

31379484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1012 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 31379484 is about 5601.7393727306. The cubic root of 31379484 is about 315.4147019727.

It can be divided in two parts, 3137 and 9484, that added together give a palindrome (12621).

The spelling of 31379484 in words is "thirty-one million, three hundred seventy-nine thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 386 579 772 797 1158 1594 2316 2391 3188 3281 4782 6562 9564 9843 13124 13549 19686 27098 39372 40647 54196 81294 153821 162588 307642 461463 615284 922926 1845852 2614957 5229914 7844871 10459828 15689742 31379484