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420833336 = 23711977043
BaseRepresentation
bin11001000101010…
…110100000111000
31002022212112210212
4121011112200320
51330213131321
6105431530252
713300011230
oct3105264070
91068775725
10420833336
111a6605350
12b8b29988
1369257111
143dc68cc0
1526e2b55b
hex19156838

420833336 has 64 divisors (see below), whose sum is σ = 994049280. Its totient is φ = 162247680.

The previous prime is 420833333. The next prime is 420833341. The reversal of 420833336 is 633338024.

It is a super-4 number, since 4×4208333364 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420833333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56231 + ... + 63273.

It is an arithmetic number, because the mean of its divisors is an integer number (15532020).

Almost surely, 2420833336 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 420833336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497024640).

420833336 is an abundant number, since it is smaller than the sum of its proper divisors (573215944).

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

420833336 is a wasteful number, since it uses less digits than its factorization.

420833336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The square root of 420833336 is about 20514.2227734808. Note that the first 3 decimals coincide. The cubic root of 420833336 is about 749.3822088815.

The spelling of 420833336 in words is "four hundred twenty million, eight hundred thirty-three thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 97 154 194 308 388 616 679 776 1067 1358 2134 2716 4268 5432 7043 7469 8536 14086 14938 28172 29876 49301 56344 59752 77473 98602 154946 197204 309892 394408 542311 619784 683171 1084622 1366342 2169244 2732684 4338488 4782197 5465368 7514881 9564394 15029762 19128788 30059524 38257576 52604167 60119048 105208334 210416668 420833336