Search a number
-
+
3442400240 = 245192264737
BaseRepresentation
bin1100110100101110…
…1101101111110000
322212220111001101012
43031023231233300
524022223301430
61325330330052
7151206630206
oct31513555760
98786431335
103442400240
111507166284
12800a29928
1342b250026
14249287076
15152330695
hexcd2edbf0

3442400240 has 40 divisors (see below), whose sum is σ = 8424825360. Its totient is φ = 1304487936.

The previous prime is 3442400231. The next prime is 3442400267. The reversal of 3442400240 is 420042443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130849 + ... + 1133888.

It is an arithmetic number, because the mean of its divisors is an integer number (210620634).

Almost surely, 23442400240 is an apocalyptic number.

It is an amenable number.

3442400240 is an abundant number, since it is smaller than the sum of its proper divisors (4982425120).

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

3442400240 is a wasteful number, since it uses less digits than its factorization.

3442400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264769 (or 2264763 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 3442400240 is about 58671.9715025838. The cubic root of 3442400240 is about 1509.9194787699.

Adding to 3442400240 its reverse (420042443), we get a palindrome (3862442683).

The spelling of 3442400240 in words is "three billion, four hundred forty-two million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2264737 4529474 9058948 11323685 18117896 22647370 36235792 43030003 45294740 86060006 90589480 172120012 181178960 215150015 344240024 430300030 688480048 860600060 1721200120 3442400240