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4300424000 = 26532811913
BaseRepresentation
bin1000000000101001…
…10100001101000000
3102002201000011200222
410000110310031000
532301402032000
61550421002212
7211366000205
oct40024641500
912081004628
104300424000
111907528224
12a00253368
13536c3a4b2
142cb1d7cac
151a2819a85
hex100534340

4300424000 has 112 divisors (see below), whose sum is σ = 10693487376. Its totient is φ = 1713152000.

The previous prime is 4300423987. The next prime is 4300424017. The reversal of 4300424000 is 4240034.

It can be written as a sum of positive squares in 8 ways, for example, as 392673856 + 3907750144 = 19816^2 + 62512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4300424000.

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, 2247044 + ... + 2248956.

Almost surely, 24300424000 is an apocalyptic number.

4300424000 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 4300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346743688).

4300424000 is an abundant number, since it is smaller than the sum of its proper divisors (6393063376).

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

4300424000 is a wasteful number, since it uses less digits than its factorization.

4300424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4300424000 is about 65577.6181330185. The cubic root of 4300424000 is about 1626.1867780258.

Adding to 4300424000 its reverse (4240034), we get a palindrome (4304664034).

The spelling of 4300424000 in words is "four billion, three hundred million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 281 320 400 500 562 800 1000 1124 1405 1600 1913 2000 2248 2810 3826 4000 4496 5620 7025 7652 8000 8992 9565 11240 14050 15304 17984 19130 22480 28100 30608 35125 38260 44960 47825 56200 61216 70250 76520 89920 95650 112400 122432 140500 153040 191300 224800 239125 281000 306080 382600 449600 478250 537553 562000 612160 765200 956500 1075106 1124000 1530400 1913000 2150212 2248000 2687765 3060800 3826000 4300424 5375530 7652000 8600848 10751060 13438825 15304000 17201696 21502120 26877650 34403392 43004240 53755300 67194125 86008480 107510600 134388250 172016960 215021200 268776500 430042400 537553000 860084800 1075106000 2150212000 4300424000