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31424200 = 2352473343
BaseRepresentation
bin111011111011…
…1111011001000
32012010111220021
41313313323020
531021033300
63041310224
7531046513
oct167677310
965114807
1031424200
1116813515
12a635374
136683302
14425dd7a
152b5ad1a
hex1df7ec8

31424200 has 48 divisors (see below), whose sum is σ = 74638080. Its totient is φ = 12298560.

The previous prime is 31424191. The next prime is 31424203. The reversal of 31424200 is 242413.

It is not an unprimeable number, because it can be changed into a prime (31424203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7729 + ... + 11071.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 231424200 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 31424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37319040).

31424200 is an abundant number, since it is smaller than the sum of its proper divisors (43213880).

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

31424200 is a wasteful number, since it uses less digits than its factorization.

31424200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3397 counting only the distinct ones).

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

The square root of 31424200 is about 5605.7292121543. The cubic root of 31424200 is about 315.5644536346.

Adding to 31424200 its reverse (242413), we get a palindrome (31666613).

The spelling of 31424200 in words is "thirty-one million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 3343 4700 6686 9400 13372 16715 26744 33430 66860 83575 133720 157121 167150 314242 334300 628484 668600 785605 1256968 1571210 3142420 3928025 6284840 7856050 15712100 31424200