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2034280000 = 265450857
BaseRepresentation
bin111100101000000…
…1010011001000000
312020202212010112201
41321100022121000
513131233430000
6533505402544
7101261044324
oct17120123100
95222763481
102034280000
11954330745
12489339454
132655ba49c
1415425d984
15bd8d496a
hex7940a640

2034280000 has 70 divisors (see below), whose sum is σ = 5044452446. Its totient is φ = 813696000.

The previous prime is 2034279937. The next prime is 2034280009. The reversal of 2034280000 is 824302.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1363677184 + 670602816 = 36928^2 + 25896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2034280000.

It is not an unprimeable number, because it can be changed into a prime (2034280009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14572 + ... + 65428.

Almost surely, 22034280000 is an apocalyptic number.

2034280000 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 2034280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522226223).

2034280000 is an abundant number, since it is smaller than the sum of its proper divisors (3010172446).

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

2034280000 is an frugal number, since it uses more digits than its factorization.

2034280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50889 (or 50864 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2034280000 is about 45102.9932487856. The cubic root of 2034280000 is about 1267.0786594567.

The spelling of 2034280000 in words is "two billion, thirty-four million, two hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 50857 101714 203428 254285 406856 508570 813712 1017140 1271425 1627424 2034280 2542850 3254848 4068560 5085700 6357125 8137120 10171400 12714250 16274240 20342800 25428500 31785625 40685600 50857000 63571250 81371200 101714000 127142500 203428000 254285000 406856000 508570000 1017140000 2034280000