Search a number
-
+
31274208 = 253375171
BaseRepresentation
bin111011101001…
…1010011100000
32011211220011000
41313103103200
531001233313
63034152000
7526553310
oct167232340
964756130
1031274208
1116720859
12a582600
13662cc64
144221440
152b2b673
hex1dd34e0

31274208 has 96 divisors (see below), whose sum is σ = 104267520. Its totient is φ = 8933760.

The previous prime is 31274183. The next prime is 31274263. The reversal of 31274208 is 80247213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (1086120).

Almost surely, 231274208 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 31274208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52133760).

31274208 is an abundant number, since it is smaller than the sum of its proper divisors (72993312).

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

31274208 is a wasteful number, since it uses less digits than its factorization.

31274208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 31274208 is about 5592.3347539288. The cubic root of 31274208 is about 315.0615752643.

The spelling of 31274208 in words is "thirty-one million, two hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 5171 6048 10342 15513 20684 31026 36197 41368 46539 62052 72394 82736 93078 108591 124104 139617 144788 165472 186156 217182 248208 279234 289576 325773 372312 434364 496416 558468 579152 651546 744624 868728 977319 1116936 1158304 1303092 1489248 1737456 1954638 2233872 2606184 3474912 3909276 4467744 5212368 7818552 10424736 15637104 31274208