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31679424 = 2636797
BaseRepresentation
bin111100011011…
…0001111000000
32012121111000000
41320312033000
531102220144
63051000000
7533161560
oct170661700
965544000
1031679424
1116978247
12a739000
13674252a
1442c8da0
152bab769
hex1e363c0

31679424 has 196 divisors, whose sum is σ = 108827824. Its totient is φ = 8957952.

The previous prime is 31679423. The next prime is 31679467. The reversal of 31679424 is 42497613.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31679423) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326544 + ... + 326640.

It is an arithmetic number, because the mean of its divisors is an integer number (555244).

Almost surely, 231679424 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 31679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54413912).

31679424 is an abundant number, since it is smaller than the sum of its proper divisors (77148400).

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

31679424 is an frugal number, since it uses more digits than its factorization.

31679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 31679424 is about 5628.4477433836. The cubic root of 31679424 is about 316.4164780397.

The spelling of 31679424 in words is "thirty-one million, six hundred seventy-nine thousand, four hundred twenty-four".