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31244280 = 23353137227
BaseRepresentation
bin111011100101…
…1111111111000
32011210101002120
41313023333320
530444304110
63033401240
7526400124
oct167137770
964711076
1031244280
1116700321
12a569220
13661c452
144214584
152b22870
hex1dcbff8

31244280 has 128 divisors (see below), whose sum is σ = 99809280. Its totient is φ = 7810560.

The previous prime is 31244267. The next prime is 31244287. The reversal of 31244280 is 8244213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31244280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31244287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137527 + ... + 137753.

It is an arithmetic number, because the mean of its divisors is an integer number (779760).

Almost surely, 231244280 is an apocalyptic number.

31244280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31244280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49904640).

31244280 is an abundant number, since it is smaller than the sum of its proper divisors (68565000).

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

31244280 is a wasteful number, since it uses less digits than its factorization.

31244280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

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

The square root of 31244280 is about 5589.6583079827. The cubic root of 31244280 is about 314.9610433053.

Adding to 31244280 its reverse (8244213), we get a palindrome (39488493).

The spelling of 31244280 in words is "thirty-one million, two hundred forty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 37 40 60 62 74 93 111 120 124 148 155 185 186 222 227 248 296 310 370 372 444 454 465 555 620 681 740 744 888 908 930 1110 1135 1147 1240 1362 1480 1816 1860 2220 2270 2294 2724 3405 3441 3720 4440 4540 4588 5448 5735 6810 6882 7037 8399 9080 9176 11470 13620 13764 14074 16798 17205 21111 22940 25197 27240 27528 28148 33596 34410 35185 41995 42222 45880 50394 56296 67192 68820 70370 83990 84444 100788 105555 125985 137640 140740 167980 168888 201576 211110 251970 260369 281480 335960 422220 503940 520738 781107 844440 1007880 1041476 1301845 1562214 2082952 2603690 3124428 3905535 5207380 6248856 7811070 10414760 15622140 31244280