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40430670 = 23571910133
BaseRepresentation
bin1001101000111…
…0110001001110
32211002002110020
42122032301032
540322240140
64002323010
71000440450
oct232166116
984062406
1040430670
1120905185
1211659466
1384b7897
1455262d0
1538396d0
hex268ec4e

40430670 has 64 divisors (see below), whose sum is σ = 116743680. Its totient is φ = 8754048.

The previous prime is 40430659. The next prime is 40430671. The reversal of 40430670 is 7603404.

40430670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40430670.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077 + ... + 9056.

It is an arithmetic number, because the mean of its divisors is an integer number (1824120).

Almost surely, 240430670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40430670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58371840).

40430670 is an abundant number, since it is smaller than the sum of its proper divisors (76313010).

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

40430670 is a wasteful number, since it uses less digits than its factorization.

40430670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10169.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 40430670 is about 6358.5116182956. The cubic root of 40430670 is about 343.2182027229.

The spelling of 40430670 in words is "forty million, four hundred thirty thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 10133 20266 30399 50665 60798 70931 101330 141862 151995 192527 212793 303990 354655 385054 425586 577581 709310 962635 1063965 1155162 1347689 1925270 2127930 2695378 2887905 4043067 5775810 6738445 8086134 13476890 20215335 40430670