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31774080 = 2735131967
BaseRepresentation
bin111100100110…
…1010110000000
32012210021211210
41321031112000
531113232310
63053010120
7534034542
oct171152600
965707753
1031774080
1116a32378
12a783940
136776640
144311692
152bc9820
hex1e4d580

31774080 has 256 divisors, whose sum is σ = 116524800. Its totient is φ = 7299072.

The previous prime is 31774073. The next prime is 31774081. The reversal of 31774080 is 8047713.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31774081) 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, 474207 + ... + 474273.

It is an arithmetic number, because the mean of its divisors is an integer number (455175).

Almost surely, 231774080 is an apocalyptic number.

31774080 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 31774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

31774080 is an abundant number, since it is smaller than the sum of its proper divisors (84750720).

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

31774080 is a wasteful number, since it uses less digits than its factorization.

31774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 31774080 is about 5636.8501842785. The cubic root of 31774080 is about 316.7313084411.

The spelling of 31774080 in words is "thirty-one million, seven hundred seventy-four thousand, eighty".