Search a number
-
+
842981304 = 233116914621
BaseRepresentation
bin110010001111101…
…101111110111000
32011202012212221210
4302033231332320
53211300400204
6215352003120
726614136304
oct6217557670
92152185853
10842981304
113a2928370
121b63904a0
13105851709
147dd56d04
154e017389
hex323edfb8

842981304 has 64 divisors (see below), whose sum is σ = 2302865280. Its totient is φ = 255024000.

The previous prime is 842981273. The next prime is 842981317. The reversal of 842981304 is 403189248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180114 + ... + 184734.

It is an arithmetic number, because the mean of its divisors is an integer number (35982270).

Almost surely, 2842981304 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 842981304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151432640).

842981304 is an abundant number, since it is smaller than the sum of its proper divisors (1459883976).

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

842981304 is a wasteful number, since it uses less digits than its factorization.

842981304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 842981304 is about 29034.1403179085. The cubic root of 842981304 is about 944.6537383736.

The spelling of 842981304 in words is "eight hundred forty-two million, nine hundred eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 691 1382 2073 2764 4146 4621 5528 7601 8292 9242 13863 15202 16584 18484 22803 27726 30404 36968 45606 50831 55452 60808 91212 101662 110904 152493 182424 203324 304986 406648 609972 1219944 3193111 6386222 9579333 12772444 19158666 25544888 35124221 38317332 70248442 76634664 105372663 140496884 210745326 280993768 421490652 842981304