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284322340 = 22571200227
BaseRepresentation
bin10000111100100…
…110101000100100
3201211000001221001
4100330212220210
51040241303330
644114003044
710021462051
oct2074465044
9654001831
10284322340
11136546645
127b276484
1346b9bb93
1429a92028
1519e639ca
hex10f26a24

284322340 has 24 divisors (see below), whose sum is σ = 605489472. Its totient is φ = 112126560.

The previous prime is 284322307. The next prime is 284322341. The reversal of 284322340 is 43223482.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 284322299 and 284322308.

It is not an unprimeable number, because it can be changed into a prime (284322341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98694 + ... + 101533.

It is an arithmetic number, because the mean of its divisors is an integer number (25228728).

Almost surely, 2284322340 is an apocalyptic number.

284322340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284322340 is an abundant number, since it is smaller than the sum of its proper divisors (321167132).

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

284322340 is a wasteful number, since it uses less digits than its factorization.

284322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200307 (or 200305 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 284322340 is about 16861.8605141900. The cubic root of 284322340 is about 657.5624348563.

It can be divided in two parts, 284 and 322340, that added together give a square (322624 = 5682).

The spelling of 284322340 in words is "two hundred eighty-four million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 71 142 284 355 710 1420 200227 400454 800908 1001135 2002270 4004540 14216117 28432234 56864468 71080585 142161170 284322340