Search a number
-
+
40003348 = 22711235647
BaseRepresentation
bin1001100010011…
…0011100010100
32210021101021111
42120212130110
540220101343
63545224404
7664010560
oct230463424
983241244
1040003348
1120643120
1211492104
138398228
1454546a0
1537a2c9d
hex2626714

40003348 has 48 divisors (see below), whose sum is σ = 91090944. Its totient is φ = 14905440.

The previous prime is 40003319. The next prime is 40003387. The reversal of 40003348 is 84330004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4261 + ... + 9907.

It is an arithmetic number, because the mean of its divisors is an integer number (1897728).

Almost surely, 240003348 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 40003348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45545472).

40003348 is an abundant number, since it is smaller than the sum of its proper divisors (51087596).

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

40003348 is a wasteful number, since it uses less digits than its factorization.

40003348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 40003348 is about 6324.8199974387. The cubic root of 40003348 is about 342.0047307349.

The spelling of 40003348 in words is "forty million, three thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 3542 5647 7084 11294 22588 39529 62117 79058 124234 129881 158116 248468 259762 434819 519524 869638 909167 1428691 1739276 1818334 2857382 3636668 5714764 10000837 20001674 40003348