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3123349280 = 2554728837
BaseRepresentation
bin1011101000101010…
…1000011100100000
322001200010120201222
42322022220130200
522344034134110
61233532114212
7140254013402
oct27212503440
98050116658
103123349280
11136305a5a7
12732005968
133aa111a8c
14218b54b72
1513430bc55
hexba2a8720

3123349280 has 72 divisors (see below), whose sum is σ = 7540104348. Its totient is φ = 1222619648.

The previous prime is 3123349279. The next prime is 3123349289. The reversal of 3123349280 is 829433213.

It can be written as a sum of positive squares in 2 ways, for example, as 2830665616 + 292683664 = 53204^2 + 17108^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3123349280.

It is not an unprimeable number, because it can be changed into a prime (3123349289) 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 11 ways as a sum of consecutive naturals, for example, 349022 + ... + 357858.

Almost surely, 23123349280 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 3123349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770052174).

3123349280 is an abundant number, since it is smaller than the sum of its proper divisors (4416755068).

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

3123349280 is an equidigital number, since it uses as much as digits as its factorization.

3123349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3123349280 is about 55886.9329986894. The cubic root of 3123349280 is about 1461.7513979232.

The spelling of 3123349280 in words is "three billion, one hundred twenty-three million, three hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 2209 3760 4418 7520 8836 8837 11045 17672 17674 22090 35344 35348 44180 44185 70688 70696 88360 88370 141392 176720 176740 282784 353440 353480 415339 706960 830678 1413920 1661356 2076695 3322712 4153390 6645424 8306780 13290848 16613560 19520933 33227120 39041866 66454240 78083732 97604665 156167464 195209330 312334928 390418660 624669856 780837320 1561674640 3123349280