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2034403420 = 2257731371453
BaseRepresentation
bin111100101000010…
…1000100001011100
312020210002101211211
41321100220201130
513131301402140
6533512154204
7101262100210
oct17120504134
95223071754
102034403420
11954405445
12489398964
1326563170a
14154292940
15bd90b2ea
hex7942885c

2034403420 has 96 divisors (see below), whose sum is σ = 4989011328. Its totient is φ = 682463232.

The previous prime is 2034403417. The next prime is 2034403421. The reversal of 2034403420 is 243044302.

It is a junction number, because it is equal to n+sod(n) for n = 2034403391 and 2034403400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034403421) 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 31 ways as a sum of consecutive naturals, for example, 1399414 + ... + 1400866.

It is an arithmetic number, because the mean of its divisors is an integer number (51968868).

Almost surely, 22034403420 is an apocalyptic number.

2034403420 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 2034403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494505664).

2034403420 is an abundant number, since it is smaller than the sum of its proper divisors (2954607908).

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

2034403420 is a wasteful number, since it uses less digits than its factorization.

2034403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2034403420 is about 45104.3614299105. The cubic root of 2034403420 is about 1267.1042835408.

Adding to 2034403420 its reverse (243044302), we get a palindrome (2277447722).

The spelling of 2034403420 in words is "two billion, thirty-four million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 137 140 146 274 292 365 511 548 685 730 959 1022 1370 1453 1460 1918 2044 2555 2740 2906 3836 4795 5110 5812 7265 9590 10001 10171 10220 14530 19180 20002 20342 29060 40004 40684 50005 50855 70007 100010 101710 106069 140014 199061 200020 203420 212138 280028 350035 398122 424276 530345 700070 742483 796244 995305 1060690 1393427 1400140 1484966 1990610 2121380 2786854 2969932 3712415 3981220 5573708 6967135 7424830 13934270 14531453 14849660 27868540 29062906 58125812 72657265 101720171 145314530 203440342 290629060 406880684 508600855 1017201710 2034403420