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2034733040 = 245127271739
BaseRepresentation
bin111100101000111…
…1000111111110000
312020210201010222222
41321101320333300
513131342424130
6533523220212
7101264642204
oct17121707760
95223633888
102034733040
1195461005a
12489517668
13265718762
1415433ab04
15bd973ce5
hex79478ff0

2034733040 has 80 divisors (see below), whose sum is σ = 4792074240. Its totient is φ = 803416320.

The previous prime is 2034733037. The next prime is 2034733091. The reversal of 2034733040 is 403374302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2752991 + ... + 2753729.

It is an arithmetic number, because the mean of its divisors is an integer number (59900928).

Almost surely, 22034733040 is an apocalyptic number.

2034733040 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 2034733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396037120).

2034733040 is an abundant number, since it is smaller than the sum of its proper divisors (2757341200).

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

2034733040 is a wasteful number, since it uses less digits than its factorization.

2034733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 26.

The square root of 2034733040 is about 45108.0152522808. The cubic root of 2034733040 is about 1267.1727131608.

The spelling of 2034733040 in words is "two billion, thirty-four million, seven hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 271 508 542 635 739 1016 1084 1270 1355 1478 2032 2168 2540 2710 2956 3695 4336 5080 5420 5912 7390 10160 10840 11824 14780 21680 29560 34417 59120 68834 93853 137668 172085 187706 200269 275336 344170 375412 400538 469265 550672 688340 750824 801076 938530 1001345 1376680 1501648 1602152 1877060 2002690 2753360 3204304 3754120 4005380 7508240 8010760 16021520 25434163 50868326 101736652 127170815 203473304 254341630 406946608 508683260 1017366520 2034733040