Search a number
-
+
424486320 = 24356312803
BaseRepresentation
bin11001010011010…
…010010110110000
31002120202010202120
4121103102112300
51332132030240
6110042114240
713343034306
oct3123222660
91076663676
10424486320
111a867a945
12ba1ab980
1369c35a4b
144053a276
15273edad0
hex194d25b0

424486320 has 80 divisors (see below), whose sum is σ = 1318463232. Its totient is φ = 112976640.

The previous prime is 424486289. The next prime is 424486331. The reversal of 424486320 is 23684424.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150039 + ... + 152841.

Almost surely, 2424486320 is an apocalyptic number.

424486320 is a gapful number since it is divisible by the number (40) 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 424486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659231616).

424486320 is an abundant number, since it is smaller than the sum of its proper divisors (893976912).

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

424486320 is a wasteful number, since it uses less digits than its factorization.

424486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 424486320 is about 20603.0657912846. The cubic root of 424486320 is about 751.5442670257.

The spelling of 424486320 in words is "four hundred twenty-four million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 2803 3155 3786 5048 5606 6310 7572 8409 9465 10096 11212 12620 14015 15144 16818 18930 22424 25240 28030 30288 33636 37860 42045 44848 50480 56060 67272 75720 84090 112120 134544 151440 168180 224240 336360 672720 1768693 3537386 5306079 7074772 8843465 10612158 14149544 17686930 21224316 26530395 28299088 35373860 42448632 53060790 70747720 84897264 106121580 141495440 212243160 424486320