Search a number
-
+
874082304 = 21232131181
BaseRepresentation
bin110100000110010…
…111000000000000
32020220201222111200
4310012113000000
53242231113204
6222422341200
730442401624
oct6406270000
92226658450
10874082304
1140943aa77
1220488a800
1310c120884
1484131184
1551b0c539
hex34197000

874082304 has 156 divisors (see below), whose sum is σ = 2558147592. Its totient is φ = 287539200.

The previous prime is 874082299. The next prime is 874082309. The reversal of 874082304 is 403280478.

It is an interprime number because it is at equal distance from previous prime (874082299) and next prime (874082309).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874082309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4829094 + ... + 4829274.

It is an arithmetic number, because the mean of its divisors is an integer number (16398382).

Almost surely, 2874082304 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 874082304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279073796).

874082304 is an abundant number, since it is smaller than the sum of its proper divisors (1684065288).

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

874082304 is a wasteful number, since it uses less digits than its factorization.

874082304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 874082304 is about 29564.8829525841. The cubic root of 874082304 is about 956.1310955064.

The spelling of 874082304 in words is "eight hundred seventy-four million, eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 131 144 181 192 256 262 288 362 384 393 512 524 543 576 724 768 786 1024 1048 1086 1152 1179 1448 1536 1572 1629 2048 2096 2172 2304 2358 2896 3072 3144 3258 4096 4192 4344 4608 4716 5792 6144 6288 6516 8384 8688 9216 9432 11584 12288 12576 13032 16768 17376 18432 18864 23168 23711 25152 26064 33536 34752 36864 37728 46336 47422 50304 52128 67072 69504 71133 75456 92672 94844 100608 104256 134144 139008 142266 150912 185344 189688 201216 208512 213399 268288 278016 284532 301824 370688 379376 402432 417024 426798 536576 556032 569064 603648 741376 758752 804864 834048 853596 1112064 1138128 1207296 1517504 1609728 1668096 1707192 2224128 2276256 2414592 3035008 3336192 3414384 4552512 4829184 6070016 6672384 6828768 9105024 12140032 13657536 18210048 24280064 27315072 36420096 48560128 54630144 72840192 97120256 109260288 145680384 218520576 291360768 437041152 874082304