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424014300 = 2232522511877
BaseRepresentation
bin11001010001011…
…111000111011100
31002112212011021100
4121101133013130
51332021424200
6110024033100
713336030203
oct3121370734
91075764240
10424014300
111a8388246
12ba002790
1369acbc48
144045623a
1527358d00
hex1945f1dc

424014300 has 108 divisors (see below), whose sum is σ = 1335055176. Its totient is φ = 112560000.

The previous prime is 424014293. The next prime is 424014341. The reversal of 424014300 is 3410424.

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 35 ways as a sum of consecutive naturals, for example, 224962 + ... + 226838.

It is an arithmetic number, because the mean of its divisors is an integer number (12361622).

Almost surely, 2424014300 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 424014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667527588).

424014300 is an abundant number, since it is smaller than the sum of its proper divisors (911040876).

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

424014300 is a wasteful number, since it uses less digits than its factorization.

424014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2138 counting only the distinct ones).

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

The square root of 424014300 is about 20591.6075137421. The cubic root of 424014300 is about 751.2655964861.

Adding to 424014300 its reverse (3410424), we get a palindrome (427424724).

The spelling of 424014300 in words is "four hundred twenty-four million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 251 300 450 502 753 900 1004 1255 1506 1877 2259 2510 3012 3754 3765 4518 5020 5631 6275 7508 7530 9036 9385 11262 11295 12550 15060 16893 18770 18825 22524 22590 25100 28155 33786 37540 37650 45180 46925 56310 56475 67572 75300 84465 93850 112620 112950 140775 168930 187700 225900 281550 337860 422325 471127 563100 844650 942254 1413381 1689300 1884508 2355635 2826762 4240143 4711270 5653524 7066905 8480286 9422540 11778175 14133810 16960572 21200715 23556350 28267620 35334525 42401430 47112700 70669050 84802860 106003575 141338100 212007150 424014300