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31342128 = 243837867
BaseRepresentation
bin111011110001…
…1111000110000
32011222100022120
41313203320300
531010422003
63035434240
7530255316
oct167437060
964870276
1031342128
1116767894
12a5b5980
136654b4c
14423c0b6
152b41853
hex1de3e30

31342128 has 40 divisors (see below), whose sum is σ = 81953088. Its totient is φ = 10320192.

The previous prime is 31342121. The next prime is 31342139. The reversal of 31342128 is 82124313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31342098 and 31342107.

It is not an unprimeable number, because it can be changed into a prime (31342121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 7917.

Almost surely, 231342128 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 31342128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40976544).

31342128 is an abundant number, since it is smaller than the sum of its proper divisors (50610960).

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

31342128 is a wasteful number, since it uses less digits than its factorization.

31342128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7961 (or 7955 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 31342128 is about 5598.4040583009. The cubic root of 31342128 is about 315.2894894795.

The spelling of 31342128 in words is "thirty-one million, three hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 7867 15734 23601 31468 47202 62936 94404 125872 188808 377616 652961 1305922 1958883 2611844 3917766 5223688 7835532 10447376 15671064 31342128