Search a number
-
+
40202344 = 23751323
BaseRepresentation
bin1001100101011…
…1000001101000
32210122111020201
42121113001220
540242433334
63553401544
7665500000
oct231270150
983574221
1040202344
1120769686
12115692b4
138437990
1454a7000
1537e1c14
hex2657068

40202344 has 96 divisors (see below), whose sum is σ = 98824320. Its totient is φ = 15212736.

The previous prime is 40202333. The next prime is 40202353. The reversal of 40202344 is 44320204.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1747917 + ... + 1747939.

It is an arithmetic number, because the mean of its divisors is an integer number (1029420).

Almost surely, 240202344 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 40202344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49412160).

40202344 is an abundant number, since it is smaller than the sum of its proper divisors (58621976).

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

40202344 is an equidigital number, since it uses as much as digits as its factorization.

40202344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 40202344 is about 6340.5318388918. The cubic root of 40202344 is about 342.5708919623.

Adding to 40202344 its reverse (44320204), we get a palindrome (84522548).

The spelling of 40202344 in words is "forty million, two hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 49 52 56 91 92 98 104 161 182 184 196 299 322 343 364 392 598 637 644 686 728 1127 1196 1274 1288 1372 2093 2254 2392 2401 2548 2744 4186 4459 4508 4802 5096 7889 8372 8918 9016 9604 14651 15778 16744 16807 17836 19208 29302 31213 31556 33614 35672 55223 58604 62426 63112 67228 102557 110446 117208 124852 134456 205114 218491 220892 249704 386561 410228 436982 441784 717899 773122 820456 873964 1435798 1546244 1747928 2871596 3092488 5025293 5743192 10050586 20101172 40202344