Search a number
-
+
798978330 = 23459710169
BaseRepresentation
bin101111100111110…
…111000100011010
32001200102022020000
4233213313010122
53114014301310
6211140513430
725541126613
oct5747670432
92050368200
10798978330
11380003277
121a36ab876
13c96b5b57
1478180c0a
154a2244c0
hex2f9f711a

798978330 has 80 divisors (see below), whose sum is σ = 2170725480. Its totient is φ = 210843648.

The previous prime is 798978319. The next prime is 798978331. The reversal of 798978330 is 33879897.

It can be written as a sum of positive squares in 4 ways, for example, as 758947401 + 40030929 = 27549^2 + 6327^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (798978331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73486 + ... + 83654.

Almost surely, 2798978330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798978330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085362740).

798978330 is an abundant number, since it is smaller than the sum of its proper divisors (1371747150).

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

798978330 is a wasteful number, since it uses less digits than its factorization.

798978330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 798978330 is about 28266.2047328608. The cubic root of 798978330 is about 927.9224173709.

The spelling of 798978330 in words is "seven hundred ninety-eight million, nine hundred seventy-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 97 135 162 194 270 291 405 485 582 810 873 970 1455 1746 2619 2910 4365 5238 7857 8730 10169 13095 15714 20338 26190 30507 39285 50845 61014 78570 91521 101690 152535 183042 274563 305070 457605 549126 823689 915210 986393 1372815 1647378 1972786 2745630 2959179 4118445 4931965 5918358 8236890 8877537 9863930 14795895 17755074 26632611 29591790 44387685 53265222 79897833 88775370 133163055 159795666 266326110 399489165 798978330