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3123321340 = 2252343269587
BaseRepresentation
bin1011101000101010…
…0001100111111100
322001200002011102011
42322022201213330
522344032240330
61233531341004
7140253536056
oct27212414774
98050064364
103123321340
111363040607
12731bb1764
133aa102149
14218b488d6
1513430382a
hexba2a19fc

3123321340 has 96 divisors (see below), whose sum is σ = 7041323520. Its totient is φ = 1160898816.

The previous prime is 3123321337. The next prime is 3123321349. The reversal of 3123321340 is 431233213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123321349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5320527 + ... + 5321113.

It is an arithmetic number, because the mean of its divisors is an integer number (73347120).

Almost surely, 23123321340 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 3123321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520661760).

3123321340 is an abundant number, since it is smaller than the sum of its proper divisors (3918002180).

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

3123321340 is a wasteful number, since it uses less digits than its factorization.

3123321340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3123321340 is about 55886.6830291439. The cubic root of 3123321340 is about 1461.7470391988.

Adding to 3123321340 its reverse (431233213), we get a palindrome (3554554553).

The spelling of 3123321340 in words is "three billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 269 430 460 538 587 860 989 1076 1174 1345 1978 2348 2690 2935 3956 4945 5380 5870 6187 9890 11567 11740 12374 13501 19780 23134 24748 25241 27002 30935 46268 50482 54004 57835 61870 67505 100964 115670 123740 126205 135010 157903 231340 252410 266041 270020 315806 504820 532082 580543 631612 789515 1064164 1161086 1330205 1579030 2322172 2660410 2902715 3158060 3631769 5320820 5805430 6789829 7263538 11610860 13579658 14527076 18158845 27159316 33949145 36317690 67898290 72635380 135796580 156166067 312332134 624664268 780830335 1561660670 3123321340