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31346028 = 2235717271
BaseRepresentation
bin111011110010…
…0110101101100
32011222112200000
41313210311230
531011033103
63035504300
7530302560
oct167446554
964875600
1031346028
111676a80a
12a5b8090
13665685c
14423d6a0
152b42aa3
hex1de4d6c

31346028 has 144 divisors (see below), whose sum is σ = 99800064. Its totient is φ = 8398080.

The previous prime is 31346027. The next prime is 31346083. The reversal of 31346028 is 82064313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31345992 and 31346010.

It is not an unprimeable number, because it can be changed into a prime (31346027) 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, 115533 + ... + 115803.

It is an arithmetic number, because the mean of its divisors is an integer number (693056).

Almost surely, 231346028 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 31346028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900032).

31346028 is an abundant number, since it is smaller than the sum of its proper divisors (68454036).

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

31346028 is a wasteful number, since it uses less digits than its factorization.

31346028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31346028 is about 5598.7523610176. The cubic root of 31346028 is about 315.3025664262.

The spelling of 31346028 in words is "thirty-one million, three hundred forty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 271 306 324 357 378 459 476 486 542 567 612 714 756 813 918 972 1071 1084 1134 1377 1428 1626 1701 1836 1897 2142 2268 2439 2754 3213 3252 3402 3794 4131 4284 4607 4878 5508 5691 6426 6804 7317 7588 8262 9214 9639 9756 11382 12852 13821 14634 16524 17073 18428 19278 21951 22764 27642 28917 29268 32249 34146 38556 41463 43902 51219 55284 57834 64498 65853 68292 82926 87804 96747 102438 115668 124389 128996 131706 153657 165852 193494 204876 248778 263412 290241 307314 373167 386988 460971 497556 580482 614628 746334 870723 921942 1119501 1160964 1492668 1741446 1843884 2239002 2612169 3482892 4478004 5224338 7836507 10448676 15673014 31346028