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31404240 = 2433573167
BaseRepresentation
bin111011111001…
…1000011010000
32012002111112000
41313303003100
531014413430
63041034000
7530634360
oct167630320
965074460
1031404240
11167aa51a
12a625900
1366771ba
1442569a0
152b54e60
hex1df30d0

31404240 has 320 divisors, whose sum is σ = 129515520. Its totient is φ = 6842880.

The previous prime is 31404211. The next prime is 31404251. The reversal of 31404240 is 4240413.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468687 + ... + 468753.

It is an arithmetic number, because the mean of its divisors is an integer number (404736).

Almost surely, 231404240 is an apocalyptic number.

31404240 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 31404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64757760).

31404240 is an abundant number, since it is smaller than the sum of its proper divisors (98111280).

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

31404240 is a wasteful number, since it uses less digits than its factorization.

31404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 31404240 is about 5603.9486079014. The cubic root of 31404240 is about 315.4976261518.

Adding to 31404240 its reverse (4240413), we get a palindrome (35644653).

The spelling of 31404240 in words is "thirty-one million, four hundred four thousand, two hundred forty".