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803734890 = 235741277337
BaseRepresentation
bin101111111010000…
…000010101101010
32002000100221222220
4233322000111222
53121224004030
6211430454510
725626430260
oct5772002552
92060327886
10803734890
11382761a12
121a5204436
13ca68cb9a
1478a5c430
154a863a10
hex2fe8056a

803734890 has 128 divisors (see below), whose sum is σ = 2273177088. Its totient is φ = 178053120.

The previous prime is 803734873. The next prime is 803734901. The reversal of 803734890 is 98437308.

803734890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384802 + ... + 2385138.

It is an arithmetic number, because the mean of its divisors is an integer number (17759196).

Almost surely, 2803734890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803734890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136588544).

803734890 is an abundant number, since it is smaller than the sum of its proper divisors (1469442198).

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

803734890 is a wasteful number, since it uses less digits than its factorization.

803734890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 803734890 is about 28350.2185176764. The cubic root of 803734890 is about 929.7601763386.

The spelling of 803734890 in words is "eight hundred three million, seven hundred thirty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 277 287 337 410 554 574 615 674 831 861 1011 1230 1385 1435 1662 1685 1722 1939 2022 2359 2770 2870 3370 3878 4155 4305 4718 5055 5817 7077 8310 8610 9695 10110 11357 11634 11795 13817 14154 19390 22714 23590 27634 29085 34071 35385 41451 56785 58170 68142 69085 70770 79499 82902 93349 96719 113570 138170 158998 170355 186698 193438 207255 238497 280047 290157 340710 397495 414510 466745 476994 483595 560094 580314 653443 794990 933490 967190 1192485 1306886 1400235 1450785 1960329 2384970 2800470 2901570 3267215 3827309 3920658 6534430 7654618 9801645 11481927 19136545 19603290 22963854 26791163 38273090 53582326 57409635 80373489 114819270 133955815 160746978 267911630 401867445 803734890