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31114314 = 23372111069
BaseRepresentation
bin111011010110…
…0010001001010
32011112202211000
41312230101022
530431124224
63030515430
7525316200
oct166542112
964482730
1031114314
1116621710
12a505b76
1365a524a
1441bd070
152ae90c9
hex1dac44a

31114314 has 96 divisors (see below), whose sum is σ = 87825600. Its totient is φ = 8074080.

The previous prime is 31114309. The next prime is 31114319. The reversal of 31114314 is 41341113.

It is an interprime number because it is at equal distance from previous prime (31114309) and next prime (31114319).

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

It is not an unprimeable number, because it can be changed into a prime (31114319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28572 + ... + 29640.

It is an arithmetic number, because the mean of its divisors is an integer number (914850).

Almost surely, 231114314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31114314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43912800).

31114314 is an abundant number, since it is smaller than the sum of its proper divisors (56711286).

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

31114314 is a wasteful number, since it uses less digits than its factorization.

31114314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 31114314 is about 5578.0206166704. The cubic root of 31114314 is about 314.5237246862.

Adding to 31114314 its reverse (41341113), we get a palindrome (72455427).

The spelling of 31114314 in words is "thirty-one million, one hundred fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1069 1078 1323 1386 1617 2079 2138 2646 3207 3234 4158 4851 6414 7483 9621 9702 11759 14553 14966 19242 22449 23518 28863 29106 35277 44898 52381 57726 67347 70554 82313 104762 105831 134694 157143 164626 202041 211662 246939 314286 317493 404082 471429 493878 576191 634986 740817 942858 1152382 1414287 1481634 1728573 2222451 2828574 3457146 4444902 5185719 10371438 15557157 31114314