Search a number
-
+
40335204 = 22371343859
BaseRepresentation
bin1001100111011…
…1011101100100
32210220020111110
42121313131210
540311211304
64000305020
7666562230
oct231673544
983806443
1040335204
112084a488
1211612170
1384832b0
1454dd5c0
15381b289
hex2677764

40335204 has 96 divisors (see below), whose sum is σ = 118666240. Its totient is φ = 10378368.

The previous prime is 40335187. The next prime is 40335209. The reversal of 40335204 is 40253304.

It is a happy number.

40335204 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (40335209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46527 + ... + 47385.

Almost surely, 240335204 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 40335204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59333120).

40335204 is an abundant number, since it is smaller than the sum of its proper divisors (78331036).

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

40335204 is a wasteful number, since it uses less digits than its factorization.

40335204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 40335204 is about 6351.0002361833. Note that the first 3 decimals coincide. The cubic root of 40335204 is about 342.9478510988.

Adding to 40335204 its reverse (40253304), we get a palindrome (80588508).

The spelling of 40335204 in words is "forty million, three hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 859 903 1092 1118 1204 1677 1718 1806 2236 2577 3354 3436 3612 3913 5154 6013 6708 7826 10308 11167 11739 12026 15652 18039 22334 23478 24052 33501 36078 36937 44668 46956 67002 72156 73874 78169 110811 134004 147748 156338 221622 234507 258559 312676 443244 469014 480181 517118 775677 938028 960362 1034236 1440543 1551354 1920724 2881086 3102708 3361267 5762172 6722534 10083801 13445068 20167602 40335204