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304022000 = 2453712141
BaseRepresentation
bin10010000111110…
…000000111110000
3210012001220210002
4102013300013300
51110312201000
650100125132
710351100342
oct2207600760
9705056702
10304022000
11146681257
12859967a8
134aca8699
142c53d292
151ba558d5
hex121f01f0

304022000 has 80 divisors (see below), whose sum is σ = 745827264. Its totient is φ = 119840000.

The previous prime is 304021973. The next prime is 304022029. The reversal of 304022000 is 220403.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140930 + ... + 143070.

Almost surely, 2304022000 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 304022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372913632).

304022000 is an abundant number, since it is smaller than the sum of its proper divisors (441805264).

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

304022000 is a wasteful number, since it uses less digits than its factorization.

304022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 304022000 is about 17436.2266560171. The cubic root of 304022000 is about 672.4113010253.

Adding to 304022000 its reverse (220403), we get a palindrome (304242403).

The spelling of 304022000 in words is "three hundred four million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2141 2840 3550 4282 5680 7100 8564 8875 10705 14200 17128 17750 21410 28400 34256 35500 42820 53525 71000 85640 107050 142000 152011 171280 214100 267625 304022 428200 535250 608044 760055 856400 1070500 1216088 1520110 2141000 2432176 3040220 3800275 4282000 6080440 7600550 12160880 15201100 19001375 30402200 38002750 60804400 76005500 152011000 304022000