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874068000 = 25353132431
BaseRepresentation
bin110100000110010…
…011100000100000
32020220201020212220
4310012103200200
53242230134000
6222422151040
730442312131
oct6406234040
92226636786
10874068000
11409430253
12204882480
1310c117200
1484129c88
1551b081a0
hex34193820

874068000 has 288 divisors, whose sum is σ = 3107849472. Its totient is φ = 214656000.

The previous prime is 874067981. The next prime is 874068023. The reversal of 874068000 is 860478.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027785 + ... + 2028215.

It is an arithmetic number, because the mean of its divisors is an integer number (10791144).

Almost surely, 2874068000 is an apocalyptic number.

874068000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553924736).

874068000 is an abundant number, since it is smaller than the sum of its proper divisors (2233781472).

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

874068000 is a wasteful number, since it uses less digits than its factorization.

874068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 874068000 is about 29564.6410429756. The cubic root of 874068000 is about 956.1258799130.

The spelling of 874068000 in words is "eight hundred seventy-four million, sixty-eight thousand".