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424321000 = 23532112011
BaseRepresentation
bin11001010010101…
…001111111101000
31002120102201222121
4121102221333220
51332111233000
6110034401024
713341445315
oct3122517750
91076381877
10424321000
111a8577714
12ba130174
1369ba871c
14404d5d0c
15273b9b1a
hex194a9fe8

424321000 has 64 divisors (see below), whose sum is σ = 998112960. Its totient is φ = 168840000.

The previous prime is 424320973. The next prime is 424321031. The reversal of 424321000 is 123424.

It is a super-2 number, since 2×4243210002 = 360096622082000000, which contains 22 as substring.

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, 209995 + ... + 212005.

It is an arithmetic number, because the mean of its divisors is an integer number (15595515).

Almost surely, 2424321000 is an apocalyptic number.

424321000 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 424321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499056480).

424321000 is an abundant number, since it is smaller than the sum of its proper divisors (573791960).

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

424321000 is a wasteful number, since it uses less digits than its factorization.

424321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 424321000 is about 20599.0533763083. The cubic root of 424321000 is about 751.4466891413.

Adding to 424321000 its reverse (123424), we get a palindrome (424444424).

The spelling of 424321000 in words is "four hundred twenty-four million, three hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2011 2110 4022 4220 5275 8044 8440 10055 10550 16088 20110 21100 26375 40220 42200 50275 52750 80440 100550 105500 201100 211000 251375 402200 424321 502750 848642 1005500 1697284 2011000 2121605 3394568 4243210 8486420 10608025 16972840 21216050 42432100 53040125 84864200 106080250 212160500 424321000