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31361064 = 23372941157
BaseRepresentation
bin111011110100…
…0100000101000
32012000022021220
41313220200220
531012023224
63040102040
7530364450
oct167504050
965008256
1031361064
1116780039
12a604920
136660657
144244d60
152b47279
hex1de8828

31361064 has 128 divisors (see below), whose sum is σ = 95558400. Its totient is φ = 8386560.

The previous prime is 31361063. The next prime is 31361111. The reversal of 31361064 is 46016313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31361063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199674 + ... + 199830.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 231361064 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 31361064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47779200).

31361064 is an abundant number, since it is smaller than the sum of its proper divisors (64197336).

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

31361064 is a wasteful number, since it uses less digits than its factorization.

31361064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 31361064 is about 5600.0949991942. The cubic root of 31361064 is about 315.3529729355.

Adding to 31361064 its reverse (46016313), we get a palindrome (77377377).

The spelling of 31361064 in words is "thirty-one million, three hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 41 42 56 58 82 84 87 116 123 157 164 168 174 203 232 246 287 314 328 348 406 471 492 574 609 628 696 812 861 942 984 1099 1148 1189 1218 1256 1624 1722 1884 2198 2296 2378 2436 3297 3444 3567 3768 4396 4553 4756 4872 6437 6594 6888 7134 8323 8792 9106 9512 12874 13188 13659 14268 16646 18212 19311 24969 25748 26376 27318 28536 31871 33292 36424 38622 45059 49938 51496 54636 63742 66584 77244 90118 95613 99876 109272 127484 135177 154488 180236 186673 191226 199752 254968 270354 360472 373346 382452 540708 560019 746692 764904 1081416 1120038 1306711 1493384 2240076 2613422 3920133 4480152 5226844 7840266 10453688 15680532 31361064