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2034501024 = 25371421709
BaseRepresentation
bin111100101000100…
…0000010110100000
312020210021100201210
41321101000112200
513131313013044
6533514230120
7101262654603
oct17121002640
95223240653
102034501024
11954471806
12489425340
13265666c7a
141542ba33a
15bd92a1b9
hex794405a0

2034501024 has 96 divisors (see below), whose sum is σ = 5436305280. Its totient is φ = 666086400.

The previous prime is 2034500999. The next prime is 2034501031. The reversal of 2034501024 is 4201054302.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2869182 + ... + 2869890.

It is an arithmetic number, because the mean of its divisors is an integer number (56628180).

Almost surely, 22034501024 is an apocalyptic number.

2034501024 is a gapful number since it is divisible by the number (24) 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 2034501024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718152640).

2034501024 is an abundant number, since it is smaller than the sum of its proper divisors (3401804256).

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

2034501024 is a wasteful number, since it uses less digits than its factorization.

2034501024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2034501024 is about 45105.4433965569. The cubic root of 2034501024 is about 1267.1245470519.

Adding to 2034501024 its reverse (4201054302), we get a palindrome (6235555326).

The spelling of 2034501024 in words is "two billion, thirty-four million, five hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 421 426 568 709 842 852 1136 1263 1418 1684 1704 2127 2272 2526 2836 3368 3408 4254 5052 5672 6736 6816 8508 10104 11344 13472 17016 20208 22688 29891 34032 40416 50339 59782 68064 89673 100678 119564 151017 179346 201356 239128 298489 302034 358692 402712 478256 596978 604068 717384 805424 895467 956512 1193956 1208136 1434768 1610848 1790934 2387912 2416272 2869536 3581868 4775824 4832544 7163736 9551648 14327472 21192719 28654944 42385438 63578157 84770876 127156314 169541752 254312628 339083504 508625256 678167008 1017250512 2034501024