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31320064 = 21141373
BaseRepresentation
bin111011101111…
…0100000000000
32011221020001101
41313132200000
531004220224
63035144144
7530134066
oct167364000
964836041
1031320064
1116752256
12a5a5054
136647aa9
144234036
152b3a044
hex1dde800

31320064 has 48 divisors (see below), whose sum is σ = 64324260. Its totient is φ = 15237120.

The previous prime is 31320061. The next prime is 31320071. The reversal of 31320064 is 46002313.

It can be written as a sum of positive squares in 2 ways, for example, as 29246464 + 2073600 = 5408^2 + 1440^2 .

It is not an unprimeable number, because it can be changed into a prime (31320061) 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 3 ways as a sum of consecutive naturals, for example, 83782 + ... + 84154.

Almost surely, 231320064 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 31320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32162130).

31320064 is an abundant number, since it is smaller than the sum of its proper divisors (33004196).

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

31320064 is an equidigital number, since it uses as much as digits as its factorization.

31320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 31320064 is about 5596.4331497839. The cubic root of 31320064 is about 315.2154870554.

Adding to 31320064 its reverse (46002313), we get a palindrome (77322377).

The spelling of 31320064 in words is "thirty-one million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 373 512 656 746 1024 1312 1492 2048 2624 2984 5248 5968 10496 11936 15293 20992 23872 30586 41984 47744 61172 83968 95488 122344 190976 244688 381952 489376 763904 978752 1957504 3915008 7830016 15660032 31320064