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31344124 = 22721723409
BaseRepresentation
bin111011110010…
…0010111111100
32011222110001111
41313210113330
531011002444
63035451404
7530264200
oct167442774
964873044
1031344124
1116769339
12a5b6b64
136655a26
14423cb00
152b42234
hex1de45fc

31344124 has 72 divisors (see below), whose sum is σ = 70670880. Its totient is φ = 12063744.

The previous prime is 31344121. The next prime is 31344139. The reversal of 31344124 is 42144313.

It is a junction number, because it is equal to n+sod(n) for n = 31344095 and 31344104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31344121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76432 + ... + 76840.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 231344124 is an apocalyptic number.

31344124 is a gapful number since it is divisible by the number (34) 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 31344124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35335440).

31344124 is an abundant number, since it is smaller than the sum of its proper divisors (39326756).

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

31344124 is a wasteful number, since it uses less digits than its factorization.

31344124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 31344124 is about 5598.5823205522. The cubic root of 31344124 is about 315.2961823293.

Adding to 31344124 its reverse (42144313), we get a palindrome (73488437).

The spelling of 31344124 in words is "thirty-one million, three hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 98 119 161 196 238 322 391 409 476 644 782 818 833 1127 1564 1636 1666 2254 2737 2863 3332 4508 5474 5726 6953 9407 10948 11452 13906 18814 19159 20041 27812 37628 38318 40082 48671 65849 76636 80164 97342 131698 159919 194684 263396 319838 340697 460943 639676 681394 921886 1119433 1362788 1843772 2238866 4477732 7836031 15672062 31344124