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304200144 = 24331076581
BaseRepresentation
bin10010001000011…
…011100111010000
3210012101222011000
4102020123213100
51110333401034
650104022000
710352441613
oct2210334720
9705358130
10304200144
11146793086
1285a61900
134b03b7b1
142c58817a
151ba8d599
hex1221b9d0

304200144 has 80 divisors (see below), whose sum is σ = 881461440. Its totient is φ = 100437120.

The previous prime is 304200137. The next prime is 304200157. The reversal of 304200144 is 441002403.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 42934 + ... + 49514.

It is an arithmetic number, because the mean of its divisors is an integer number (11018268).

Almost surely, 2304200144 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 304200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440730720).

304200144 is an abundant number, since it is smaller than the sum of its proper divisors (577261296).

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

304200144 is a wasteful number, since it uses less digits than its factorization.

304200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 304200144 is about 17441.3343526234. The cubic root of 304200144 is about 672.5426102178.

Adding to 304200144 its reverse (441002403), we get a palindrome (745202547).

The spelling of 304200144 in words is "three hundred four million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 6581 7704 11556 13162 15408 19743 23112 26324 39486 46224 52648 59229 78972 105296 118458 157944 177687 236916 315888 355374 473832 704167 710748 947664 1408334 1421496 2112501 2816668 2842992 4225002 5633336 6337503 8450004 11266672 12675006 16900008 19012509 25350012 33800016 38025018 50700024 76050036 101400048 152100072 304200144