Search a number
-
+
40042340 = 22513337457
BaseRepresentation
bin1001100010111…
…1111101100100
32210100100202122
42120233331210
540222323330
63550125112
7664232342
oct230577544
983310678
1040042340
112066a448
12114b0798
1383acbc0
145464992
1537ae5e5
hex262ff64

40042340 has 48 divisors (see below), whose sum is σ = 91024752. Its totient is φ = 14708736.

The previous prime is 40042339. The next prime is 40042351. The reversal of 40042340 is 4324004.

It can be written as a sum of positive squares in 8 ways, for example, as 1304164 + 38738176 = 1142^2 + 6224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87392 + ... + 87848.

It is an arithmetic number, because the mean of its divisors is an integer number (1896349).

Almost surely, 240042340 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 40042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45512376).

40042340 is an abundant number, since it is smaller than the sum of its proper divisors (50982412).

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

40042340 is a wasteful number, since it uses less digits than its factorization.

40042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 40042340 is about 6327.9017059370. The cubic root of 40042340 is about 342.1158140875.

Adding to 40042340 its reverse (4324004), we get a palindrome (44366344).

The spelling of 40042340 in words is "forty million, forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 457 674 914 1348 1685 1828 2285 3370 4381 4570 5941 6740 8762 9140 11882 17524 21905 23764 29705 43810 59410 87620 118820 154009 308018 616036 770045 1540090 2002117 3080180 4004234 8008468 10010585 20021170 40042340