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424310000 = 2454151281
BaseRepresentation
bin11001010010100…
…111010011110000
31002120102011220012
4121102213103300
51332110410000
6110034234052
713341401252
oct3122472360
91076364805
10424310000
111a856a424
12ba125928
1369ba370a
14404d1cd2
15273b6735
hex194a74f0

424310000 has 100 divisors (see below), whose sum is σ = 1037780304. Its totient is φ = 168000000.

The previous prime is 424309993. The next prime is 424310011. The reversal of 424310000 is 13424.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×4243100002 = 360077952200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1509860 + ... + 1510140.

Almost surely, 2424310000 is an apocalyptic number.

424310000 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 424310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518890152).

424310000 is an abundant number, since it is smaller than the sum of its proper divisors (613470304).

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

424310000 is a wasteful number, since it uses less digits than its factorization.

424310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 424310000 is about 20598.7863720172. The cubic root of 424310000 is about 751.4401956415.

Adding to 424310000 its reverse (13424), we get a palindrome (424323424).

The spelling of 424310000 in words is "four hundred twenty-four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 151 200 250 281 302 400 500 562 604 625 755 1000 1124 1208 1250 1405 1510 2000 2248 2416 2500 2810 3020 3775 4496 5000 5620 6040 7025 7550 10000 11240 12080 14050 15100 18875 22480 28100 30200 35125 37750 42431 56200 60400 70250 75500 84862 94375 112400 140500 151000 169724 175625 188750 212155 281000 302000 339448 351250 377500 424310 562000 678896 702500 755000 848620 1060775 1405000 1510000 1697240 2121550 2810000 3394480 4243100 5303875 8486200 10607750 16972400 21215500 26519375 42431000 53038750 84862000 106077500 212155000 424310000