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31330440 = 23325293001
BaseRepresentation
bin111011110000…
…1000010001000
32011221202021200
41313201002020
531010033230
63035304200
7530206251
oct167410210
964852250
1031330440
111675a029
12a5ab060
13664c72b
144237b28
152b3d160
hex1de1088

31330440 has 96 divisors (see below), whose sum is σ = 105370200. Its totient is φ = 8064000.

The previous prime is 31330433. The next prime is 31330441. The reversal of 31330440 is 4403313.

It can be written as a sum of positive squares in 4 ways, for example, as 25826724 + 5503716 = 5082^2 + 2346^2 .

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 (31330441) 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, 8940 + ... + 11940.

Almost surely, 231330440 is an apocalyptic number.

31330440 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 31330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52685100).

31330440 is an abundant number, since it is smaller than the sum of its proper divisors (74039760).

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

31330440 is a wasteful number, since it uses less digits than its factorization.

31330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 31330440 is about 5597.3600920434. The cubic root of 31330440 is about 315.2502923779.

Adding to 31330440 its reverse (4403313), we get a palindrome (35733753).

The spelling of 31330440 in words is "thirty-one million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3001 3480 5220 6002 9003 10440 12004 15005 18006 24008 27009 30010 36012 45015 54018 60020 72024 87029 90030 108036 120040 135045 174058 180060 216072 261087 270090 348116 360120 435145 522174 540180 696232 783261 870290 1044348 1080360 1305435 1566522 1740580 2088696 2610870 3133044 3481160 3916305 5221740 6266088 7832610 10443480 15665220 31330440