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873812304 = 243213744293
BaseRepresentation
bin110100000101010…
…101000101010000
32020220020021010200
4310011111011100
53242143443204
6222412455200
730440165511
oct6405250520
92226207120
10873812304
11409276132
1220477a500
1310c057a01
14840a0a08
1551aa7539
hex34155150

873812304 has 60 divisors (see below), whose sum is σ = 2463366516. Its totient is φ = 289138176.

The previous prime is 873812287. The next prime is 873812327. The reversal of 873812304 is 403218378.

It can be written as a sum of positive squares in 2 ways, for example, as 650250000 + 223562304 = 25500^2 + 14952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2419 + ... + 41874.

Almost surely, 2873812304 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 873812304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231683258).

873812304 is an abundant number, since it is smaller than the sum of its proper divisors (1589554212).

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

873812304 is a wasteful number, since it uses less digits than its factorization.

873812304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44444 (or 44435 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 873812304 is about 29560.3163717847. The cubic root of 873812304 is about 956.0326372033.

The spelling of 873812304 in words is "eight hundred seventy-three million, eight hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 137 144 274 411 548 822 1096 1233 1644 2192 2466 3288 4932 6576 9864 19728 44293 88586 132879 177172 265758 354344 398637 531516 708688 797274 1063032 1594548 2126064 3189096 6068141 6378192 12136282 18204423 24272564 36408846 48545128 54613269 72817692 97090256 109226538 145635384 218453076 291270768 436906152 873812304