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31682340 = 223654153
BaseRepresentation
bin111100011011…
…0111100100100
32012121122000000
41320312330210
531102313330
63051021300
7533203224
oct170667444
965548000
1031682340
111697a458
12a73a830
136743961
1442ca084
152bac560
hex1e36f24

31682340 has 168 divisors, whose sum is σ = 104114808. Its totient is φ = 8087040.

The previous prime is 31682303. The next prime is 31682353. The reversal of 31682340 is 4328613.

It is a happy number.

31682340 is a `hidden beast` number, since 316 + 8 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 30935844 = 864^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 597754 + ... + 597806.

It is an arithmetic number, because the mean of its divisors is an integer number (619731).

Almost surely, 231682340 is an apocalyptic number.

31682340 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 31682340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52057404).

31682340 is an abundant number, since it is smaller than the sum of its proper divisors (72432468).

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

31682340 is a wasteful number, since it uses less digits than its factorization.

31682340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 31682340 is about 5628.7067786482. The cubic root of 31682340 is about 316.4261861512.

The spelling of 31682340 in words is "thirty-one million, six hundred eighty-two thousand, three hundred forty".