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2034085888 = 2121959443
BaseRepresentation
bin111100100111101…
…1011000000000000
312020202111021021101
41321033123000000
513131211222023
6533501304144
7101256305362
oct17117330000
95222437241
102034085888
1195420891a
12489265054
13265550023
1415420cd32
15bd8971ad
hex793db000

2034085888 has 104 divisors (see below), whose sum is σ = 4364164800. Its totient is φ = 945045504.

The previous prime is 2034085871. The next prime is 2034085903. The reversal of 2034085888 is 8885804302.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4591395 + ... + 4591837.

Almost surely, 22034085888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034085888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182082400).

2034085888 is an abundant number, since it is smaller than the sum of its proper divisors (2330078912).

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

2034085888 is an equidigital number, since it uses as much as digits as its factorization.

2034085888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The square root of 2034085888 is about 45100.8413225297. The cubic root of 2034085888 is about 1267.0383564180.

The spelling of 2034085888 in words is "two billion, thirty-four million, eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 59 64 76 118 128 152 236 256 304 443 472 512 608 886 944 1024 1121 1216 1772 1888 2048 2242 2432 3544 3776 4096 4484 4864 7088 7552 8417 8968 9728 14176 15104 16834 17936 19456 26137 28352 30208 33668 35872 38912 52274 56704 60416 67336 71744 77824 104548 113408 120832 134672 143488 209096 226816 241664 269344 286976 418192 453632 496603 538688 573952 836384 907264 993206 1077376 1147904 1672768 1814528 1986412 2154752 2295808 3345536 3972824 4309504 4591616 6691072 7945648 8619008 13382144 15891296 17238016 26764288 31782592 34476032 53528576 63565184 107057152 127130368 254260736 508521472 1017042944 2034085888