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40142934 = 23213199029
BaseRepresentation
bin1001100100100…
…0100001010110
32210112110202100
42121020201112
540234033214
63552222530
7665131536
oct231104126
983473670
1040142934
1120728a87
121153aa46
138416920
14548d4c6
1537ce309
hex2648856

40142934 has 48 divisors (see below), whose sum is σ = 98607600. Its totient is φ = 11700288.

The previous prime is 40142929. The next prime is 40142939. The reversal of 40142934 is 43924104.

It is an interprime number because it is at equal distance from previous prime (40142929) and next prime (40142939).

It is a super-2 number, since 2×401429342 = 3222910300256712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40142898 and 40142907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40142939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69 + ... + 8960.

It is an arithmetic number, because the mean of its divisors is an integer number (2054325).

Almost surely, 240142934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49303800).

40142934 is an abundant number, since it is smaller than the sum of its proper divisors (58464666).

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

40142934 is a wasteful number, since it uses less digits than its factorization.

40142934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9066 counting only the distinct ones).

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

The square root of 40142934 is about 6335.8451685628. The cubic root of 40142934 is about 342.4020612575.

The spelling of 40142934 in words is "forty million, one hundred forty-two thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 4446 9029 18058 27087 54174 81261 117377 162522 171551 234754 343102 352131 514653 704262 1029306 1056393 1543959 2112786 2230163 3087918 4460326 6690489 13380978 20071467 40142934