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31280424 = 2337267397
BaseRepresentation
bin111011101010…
…0110100101000
32011212012200020
41313110310220
531001433144
63034240440
7526610400
oct167246450
964765606
1031280424
111672549a
12a586120
136632a36
144223800
152b2d419
hex1dd4d28

31280424 has 96 divisors (see below), whose sum is σ = 92558880. Its totient is φ = 8781696.

The previous prime is 31280423. The next prime is 31280449. The reversal of 31280424 is 42408213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31280394 and 31280403.

It is not an unprimeable number, because it can be changed into a prime (31280423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78594 + ... + 78990.

It is an arithmetic number, because the mean of its divisors is an integer number (964155).

Almost surely, 231280424 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 31280424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46279440).

31280424 is an abundant number, since it is smaller than the sum of its proper divisors (61278456).

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

31280424 is a wasteful number, since it uses less digits than its factorization.

31280424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 31280424 is about 5592.8904870380. The cubic root of 31280424 is about 315.0824475542.

Adding to 31280424 its reverse (42408213), we get a palindrome (73688637).

The spelling of 31280424 in words is "thirty-one million, two hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 392 397 402 469 536 588 794 804 938 1176 1191 1407 1588 1608 1876 2382 2779 2814 3176 3283 3752 4764 5558 5628 6566 8337 9528 9849 11116 11256 13132 16674 19453 19698 22232 26264 26599 33348 38906 39396 53198 58359 66696 77812 78792 79797 106396 116718 155624 159594 186193 212792 233436 319188 372386 466872 558579 638376 744772 1117158 1303351 1489544 2234316 2606702 3910053 4468632 5213404 7820106 10426808 15640212 31280424