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31734045 = 335733581
BaseRepresentation
bin111100100001…
…1100100011101
32012201020221000
41321003210131
531110442140
63052100513
7533510040
oct171034435
965636830
1031734045
1116a05292
12a764739
136761355
144300c57
152bbca30
hex1e4391d

31734045 has 32 divisors (see below), whose sum is σ = 64477440. Its totient is φ = 14506560.

The previous prime is 31734013. The next prime is 31734083. The reversal of 31734045 is 54043713.

31734045 is a `hidden beast` number, since 317 + 340 + 4 + 5 = 666.

It is not a de Polignac number, because 31734045 - 25 = 31734013 is a prime.

It is a super-2 number, since 2×317340452 = 2014099224124050, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 15846 + ... + 17735.

It is an arithmetic number, because the mean of its divisors is an integer number (2014920).

Almost surely, 231734045 is an apocalyptic number.

31734045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31734045 is an abundant number, since it is smaller than the sum of its proper divisors (32743395).

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

31734045 is a wasteful number, since it uses less digits than its factorization.

31734045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33602 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 31734045 is about 5633.2978795729. The cubic root of 31734045 is about 316.5982265143.

Adding to 31734045 its reverse (54043713), we get a palindrome (85777758).

The spelling of 31734045 in words is "thirty-one million, seven hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 33581 100743 167905 235067 302229 503715 705201 906687 1175335 1511145 2115603 3526005 4533435 6346809 10578015 31734045