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2734539000 = 233532339631
BaseRepresentation
bin1010001011111101…
…1100000011111000
321001120111222022020
42202333130003320
521100020222000
61131202354440
7124523124624
oct24277340370
97046458266
102734539000
111183637696
1264395ba20
133476ba71b
141bd264184
15110108ba0
hexa2fdc0f8

2734539000 has 128 divisors (see below), whose sum is σ = 8902932480. Its totient is φ = 697488000.

The previous prime is 2734538971. The next prime is 2734539001. The reversal of 2734539000 is 9354372.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734539001) 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, 49185 + ... + 88815.

It is an arithmetic number, because the mean of its divisors is an integer number (69554160).

Almost surely, 22734539000 is an apocalyptic number.

2734539000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734539000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451466240).

2734539000 is an abundant number, since it is smaller than the sum of its proper divisors (6168393480).

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

2734539000 is a wasteful number, since it uses less digits than its factorization.

2734539000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39678 (or 39664 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 2734539000 is about 52292.8197748027. The cubic root of 2734539000 is about 1398.3891336122.

The spelling of 2734539000 in words is "two billion, seven hundred thirty-four million, five hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 39631 69000 79262 118893 158524 198155 237786 317048 396310 475572 594465 792620 911513 951144 990775 1188930 1585240 1823026 1981550 2377860 2734539 2972325 3646052 3963100 4557565 4755720 4953875 5469078 5944650 7292104 7926200 9115130 9907750 10938156 11889300 13672695 14861625 18230260 19815500 21876312 22787825 23778600 27345390 29723250 36460520 39631000 45575650 54690780 59446500 68363475 91151300 109381560 113939125 118893000 136726950 182302600 227878250 273453900 341817375 455756500 546907800 683634750 911513000 1367269500 2734539000