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31440060 = 223251929317
BaseRepresentation
bin111011111101…
…1110010111100
32012011022122200
41313323302330
531022040220
63041511500
7531143661
oct167736274
965138580
1031440060
1116824423
12a642590
13668a5b2
144265a68
152b60890
hex1dfbcbc

31440060 has 144 divisors (see below), whose sum is σ = 104176800. Its totient is φ = 7644672.

The previous prime is 31440049. The next prime is 31440061. The reversal of 31440060 is 6004413.

It is a super-3 number, since 3×314400603 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31440061) 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, 99022 + ... + 99338.

It is an arithmetic number, because the mean of its divisors is an integer number (723450).

Almost surely, 231440060 is an apocalyptic number.

31440060 is a gapful number since it is divisible by the number (30) 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 31440060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52088400).

31440060 is an abundant number, since it is smaller than the sum of its proper divisors (72736740).

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

31440060 is a wasteful number, since it uses less digits than its factorization.

31440060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 375 counting only the distinct ones).

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

The square root of 31440060 is about 5607.1436578707. The cubic root of 31440060 is about 315.6175338560.

Adding to 31440060 its reverse (6004413), we get a palindrome (37444473).

The spelling of 31440060 in words is "thirty-one million, four hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 317 342 348 380 435 522 551 570 580 634 684 855 870 951 1044 1102 1140 1268 1305 1585 1653 1710 1740 1902 2204 2610 2755 2853 3170 3306 3420 3804 4755 4959 5220 5510 5706 6023 6340 6612 8265 9193 9510 9918 11020 11412 12046 14265 16530 18069 18386 19020 19836 24092 24795 27579 28530 30115 33060 36138 36772 45965 49590 54207 55158 57060 60230 72276 82737 90345 91930 99180 108414 110316 120460 137895 165474 174667 180690 183860 216828 271035 275790 330948 349334 361380 413685 524001 542070 551580 698668 827370 873335 1048002 1084140 1572003 1654740 1746670 2096004 2620005 3144006 3493340 5240010 6288012 7860015 10480020 15720030 31440060