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3123444340 = 2251755716493
BaseRepresentation
bin1011101000101011…
…1111101001110100
322001200022102010201
42322022333221310
522344100204330
61233534130244
7140254560502
oct27212775164
98050272121
103123444340
111363114a65
12732050984
133aa146123
14218b7b672
15134329eca
hexba2bfa74

3123444340 has 48 divisors (see below), whose sum is σ = 6957960912. Its totient is φ = 1173702656.

The previous prime is 3123444319. The next prime is 3123444341. The reversal of 3123444340 is 434443213.

It can be written as a sum of positive squares in 8 ways, for example, as 654745744 + 2468698596 = 25588^2 + 49686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3123444299 and 3123444308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123444341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181134 + ... + 197626.

It is an arithmetic number, because the mean of its divisors is an integer number (144957519).

Almost surely, 23123444340 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 3123444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478980456).

3123444340 is an abundant number, since it is smaller than the sum of its proper divisors (3834516572).

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

3123444340 is a wasteful number, since it uses less digits than its factorization.

3123444340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17076 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3123444340 is about 55887.7834593572. The cubic root of 3123444340 is about 1461.7662273755.

Adding to 3123444340 its reverse (434443213), we get a palindrome (3557887553).

The spelling of 3123444340 in words is "three billion, one hundred twenty-three million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 557 1114 2228 2785 5570 9469 11140 16493 18938 32986 37876 47345 65972 82465 94690 164930 189380 280381 329860 560762 1121524 1401905 2803810 5607620 9186601 18373202 36746404 45933005 91866010 156172217 183732020 312344434 624688868 780861085 1561722170 3123444340