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31016034 = 23771013
BaseRepresentation
bin111011001010…
…0010001100010
32011100210000000
41312110101202
530420003114
63024440430
7524426520
oct166242142
964323000
1031016034
1116564895
12a479116
13656c5aa
144195310
152ac9e09
hex1d94462

31016034 has 64 divisors (see below), whose sum is σ = 79822080. Its totient is φ = 8852976.

The previous prime is 31016033. The next prime is 31016057. The reversal of 31016034 is 43061013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31015998 and 31016016.

It is not an unprimeable number, because it can be changed into a prime (31016033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30112 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (1247220).

Almost surely, 231016034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31016034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39911040).

31016034 is an abundant number, since it is smaller than the sum of its proper divisors (48806046).

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

31016034 is an equidigital number, since it uses as much as digits as its factorization.

31016034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1025 counting only the distinct ones).

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

The square root of 31016034 is about 5569.2040723967. The cubic root of 31016034 is about 314.1922160089.

Adding to 31016034 its reverse (43061013), we get a palindrome (74077047).

The spelling of 31016034 in words is "thirty-one million, sixteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1013 1134 1458 1701 2026 2187 3039 3402 4374 5103 6078 7091 9117 10206 14182 15309 18234 21273 27351 30618 42546 54702 63819 82053 127638 164106 191457 246159 382914 492318 574371 738477 1148742 1476954 1723113 2215431 3446226 4430862 5169339 10338678 15508017 31016034