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31144344 = 23371119887
BaseRepresentation
bin111011011001…
…1100110011000
32011121022000020
41312303212120
530433104334
63031310440
7525502560
oct166634630
964538006
1031144344
1116642230
12a51b420
1365b5b0a
1441c9da0
152b02e49
hex1db3998

31144344 has 128 divisors (see below), whose sum is σ = 102297600. Its totient is φ = 7655040.

The previous prime is 31144313. The next prime is 31144349. The reversal of 31144344 is 44344113.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31144349) 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, 34669 + ... + 35555.

It is an arithmetic number, because the mean of its divisors is an integer number (799200).

Almost surely, 231144344 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 31144344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148800).

31144344 is an abundant number, since it is smaller than the sum of its proper divisors (71153256).

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

31144344 is a wasteful number, since it uses less digits than its factorization.

31144344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 929 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 31144344 is about 5580.7117825596. The cubic root of 31144344 is about 314.6248797410.

Adding to 31144344 its reverse (44344113), we get a palindrome (75488457).

The spelling of 31144344 in words is "thirty-one million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 887 924 1064 1254 1463 1596 1672 1774 1848 2508 2661 2926 3192 3548 4389 5016 5322 5852 6209 7096 8778 9757 10644 11704 12418 16853 17556 18627 19514 21288 24836 29271 33706 35112 37254 39028 49672 50559 58542 67412 68299 74508 78056 101118 117084 117971 134824 136598 149016 185383 202236 204897 234168 235942 273196 353913 370766 404472 409794 471884 546392 556149 707826 741532 819588 943768 1112298 1297681 1415652 1483064 1639176 2224596 2595362 2831304 3893043 4449192 5190724 7786086 10381448 15572172 31144344