Search a number
-
+
424409400 = 233252235783
BaseRepresentation
bin11001010010111…
…111100100111000
31002120121020020200
4121102333210320
51332122100100
6110040322200
713342264122
oct3122774470
91076536220
10424409400
111a8628078
12ba173360
1369c09a2c
144051a212
15273d5e00
hex194bf938

424409400 has 72 divisors (see below), whose sum is σ = 1425314280. Its totient is φ = 113175360.

The previous prime is 424409399. The next prime is 424409407. The reversal of 424409400 is 4904424.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424409407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116092 + ... + 119691.

Almost surely, 2424409400 is an apocalyptic number.

424409400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424409400 is an abundant number, since it is smaller than the sum of its proper divisors (1000904880).

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

424409400 is a wasteful number, since it uses less digits than its factorization.

424409400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235805 (or 235793 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 424409400 is about 20601.1989942333. The cubic root of 424409400 is about 751.4988691927.

The spelling of 424409400 in words is "four hundred twenty-four million, four hundred nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 235783 471566 707349 943132 1178915 1414698 1886264 2122047 2357830 2829396 3536745 4244094 4715660 5658792 5894575 7073490 8488188 9431320 10610235 11789150 14146980 16976376 17683725 21220470 23578300 28293960 35367450 42440940 47156600 53051175 70734900 84881880 106102350 141469800 212204700 424409400