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424174100 = 225271514013
BaseRepresentation
bin11001010010000…
…110001000010100
31002120011021110212
4121102012020110
51332042032400
6110031304552
713340264120
oct3122061024
91076137425
10424174100
111a8487309
12ba07b158
1369b568bc
1440498580
152738b335
hex19486214

424174100 has 72 divisors (see below), whose sum is σ = 1059182208. Its totient is φ = 144432000.

The previous prime is 424174099. The next prime is 424174103. The reversal of 424174100 is 1471424.

It is a happy number.

It is a super-2 number, since 2×4241741002 = 359847334221620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424174103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103694 + ... + 107706.

It is an arithmetic number, because the mean of its divisors is an integer number (14710864).

Almost surely, 2424174100 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 424174100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529591104).

424174100 is an abundant number, since it is smaller than the sum of its proper divisors (635008108).

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

424174100 is a wasteful number, since it uses less digits than its factorization.

424174100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 424174100 is about 20595.4873698099. The cubic root of 424174100 is about 751.3599621431.

The spelling of 424174100 in words is "four hundred twenty-four million, one hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 3020 3775 4013 4228 5285 7550 8026 10570 15100 16052 20065 21140 26425 28091 40130 52850 56182 80260 100325 105700 112364 140455 200650 280910 401300 561820 605963 702275 1211926 1404550 2423852 2809100 3029815 4241741 6059630 8483482 12119260 15149075 16966964 21208705 30298150 42417410 60596300 84834820 106043525 212087050 424174100