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2034031000 = 23532970139
BaseRepresentation
bin111100100111100…
…1101100110011000
312020202101110222111
41321033031212120
513131202443000
6533500202104
7101255656351
oct17117154630
95222343874
102034031000
11954180661
12489239334
13265531051
141541d6d28
15bd885cba
hex793cd998

2034031000 has 64 divisors (see below), whose sum is σ = 4923828000. Its totient is φ = 785545600.

The previous prime is 2034030989. The next prime is 2034031019. The reversal of 2034031000 is 1304302.

It is a super-2 number, since 2×20340310002 = 8274564217922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6070 + ... + 64069.

Almost surely, 22034031000 is an apocalyptic number.

2034031000 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 2034031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461914000).

2034031000 is an abundant number, since it is smaller than the sum of its proper divisors (2889797000).

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

2034031000 is a wasteful number, since it uses less digits than its factorization.

2034031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70189 (or 70175 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2034031000 is about 45100.2328153636. The cubic root of 2034031000 is about 1267.0269596808.

Adding to 2034031000 its reverse (1304302), we get a palindrome (2035335302).

The spelling of 2034031000 in words is "two billion, thirty-four million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 70139 140278 280556 350695 561112 701390 1402780 1753475 2034031 2805560 3506950 4068062 7013900 8136124 8767375 10170155 14027800 16272248 17534750 20340310 35069500 40680620 50850775 70139000 81361240 101701550 203403100 254253875 406806200 508507750 1017015500 2034031000