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31350240 = 253454159
BaseRepresentation
bin111011110010…
…1110111100000
32011222202110000
41313211313200
531011201430
63035540000
7530321055
oct167456740
964882400
1031350240
1116772999
12a5ba600
13665874c
14424102c
152b43e60
hex1de5de0

31350240 has 240 divisors, whose sum is σ = 115259760. Its totient is φ = 8017920.

The previous prime is 31350229. The next prime is 31350257. The reversal of 31350240 is 4205313.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531331 + ... + 531389.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 231350240 is an apocalyptic number.

31350240 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 31350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57629880).

31350240 is an abundant number, since it is smaller than the sum of its proper divisors (83909520).

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

31350240 is a wasteful number, since it uses less digits than its factorization.

31350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 31350240 is about 5599.1285036155. The cubic root of 31350240 is about 315.3166883104.

Adding to 31350240 its reverse (4205313), we get a palindrome (35555553).

The spelling of 31350240 in words is "thirty-one million, three hundred fifty thousand, two hundred forty".