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31134132 = 22373559
BaseRepresentation
bin111011011000…
…1000110110100
32011120210000000
41312301012310
530432243012
63031151300
7525431031
oct166610664
964523000
1031134132
1116635597
12a515530
1365b1283
1441c6388
152aeeddc
hex1db11b4

31134132 has 48 divisors (see below), whose sum is σ = 81737600. Its totient is φ = 10375128.

The previous prime is 31134127. The next prime is 31134133. The reversal of 31134132 is 23143113.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31134133) 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, 6969 + ... + 10527.

Almost surely, 231134132 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 31134132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40868800).

31134132 is an abundant number, since it is smaller than the sum of its proper divisors (50603468).

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

31134132 is an equidigital number, since it uses as much as digits as its factorization.

31134132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3564 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31134132 is about 5579.7967704926. The cubic root of 31134132 is about 314.5904882583.

Adding to 31134132 its reverse (23143113), we get a palindrome (54277245).

It can be divided in two parts, 311 and 34132, that added together give a palindrome (34443).

The spelling of 31134132 in words is "thirty-one million, one hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 3559 4374 7118 8748 10677 14236 21354 32031 42708 64062 96093 128124 192186 288279 384372 576558 864837 1153116 1729674 2594511 3459348 5189022 7783533 10378044 15567066 31134132