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424031300 = 225272117867
BaseRepresentation
bin11001010001100…
…011010001000100
31002112220000120222
4121101203101010
51332023000200
6110024243512
713336130600
oct3121432104
91075800528
10424031300
111a8399aa0
12ba010598
1369b068c4
144045c500
152735dd85
hex19463444

424031300 has 108 divisors (see below), whose sum is σ = 1167831504. Its totient is φ = 132148800.

The previous prime is 424031291. The next prime is 424031347. The reversal of 424031300 is 3130424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49967 + ... + 57833.

Almost surely, 2424031300 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 424031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583915752).

424031300 is an abundant number, since it is smaller than the sum of its proper divisors (743800204).

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

424031300 is a wasteful number, since it uses less digits than its factorization.

424031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 424031300 is about 20592.0202991353. The cubic root of 424031300 is about 751.2756365126.

Adding to 424031300 its reverse (3130424), we get a palindrome (427161724).

The spelling of 424031300 in words is "four hundred twenty-four million, thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 2156 2450 2695 3850 4900 5390 7700 7867 10780 13475 15734 26950 31468 39335 53900 55069 78670 86537 110138 157340 173074 196675 220276 275345 346148 385483 393350 432685 550690 605759 770966 786700 865370 1101380 1211518 1376725 1541932 1730740 1927415 2163425 2423036 2753450 3028795 3854830 4240313 4326850 5506900 6057590 7709660 8480626 8653700 9637075 12115180 15143975 16961252 19274150 21201565 30287950 38548300 42403130 60575900 84806260 106007825 212015650 424031300