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31034124 = 223311151173
BaseRepresentation
bin111011001100…
…0101100001100
32011101200211000
41312120230030
530421042444
63025100300
7524533332
oct166305414
964350730
1031034124
1116577440
12a487690
1365778b4
14419bb52
152ad0469
hex1d98b0c

31034124 has 96 divisors (see below), whose sum is σ = 88865280. Its totient is φ = 9288000.

The previous prime is 31034119. The next prime is 31034149. The reversal of 31034124 is 42143013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31034097 and 31034106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179302 + ... + 179474.

It is an arithmetic number, because the mean of its divisors is an integer number (925680).

Almost surely, 231034124 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 31034124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44432640).

31034124 is an abundant number, since it is smaller than the sum of its proper divisors (57831156).

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

31034124 is a wasteful number, since it uses less digits than its factorization.

31034124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31034124 is about 5570.8279456469. The cubic root of 31034124 is about 314.2532879965.

Adding to 31034124 its reverse (42143013), we get a palindrome (73177137).

Subtracting 31034124 from its reverse (42143013), we obtain a square (11108889 = 33332).

It can be divided in two parts, 3103 and 4124, that added together give a palindrome (7227).

The spelling of 31034124 in words is "thirty-one million, thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 151 173 198 297 302 346 396 453 519 594 604 692 906 1038 1188 1359 1557 1661 1812 1903 2076 2718 3114 3322 3806 4077 4671 4983 5436 5709 6228 6644 7612 8154 9342 9966 11418 14949 16308 17127 18684 19932 22836 26123 29898 34254 44847 51381 52246 59796 68508 78369 89694 102762 104492 156738 179388 205524 235107 287353 313476 470214 574706 705321 862059 940428 1149412 1410642 1724118 2586177 2821284 3448236 5172354 7758531 10344708 15517062 31034124