Search a number
-
+
3441224040 = 2335213113457
BaseRepresentation
bin1100110100011100…
…1110100101101000
322212211021021221020
43031013032211220
524021423132130
61325245212440
7151163631102
oct31507164550
98784237836
103441224040
111506532611
12800561120
1342ac2a857
1424905c572
1515219be10
hexcd1ce968

3441224040 has 64 divisors (see below), whose sum is σ = 10329284160. Its totient is φ = 917160960.

The previous prime is 3441224027. The next prime is 3441224047. The reversal of 3441224040 is 404221443.

It is a happy number.

3441224040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3441224040.

It is not an unprimeable number, because it can be changed into a prime (3441224047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248992 + ... + 262448.

It is an arithmetic number, because the mean of its divisors is an integer number (161395065).

Almost surely, 23441224040 is an apocalyptic number.

3441224040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441224040 is an abundant number, since it is smaller than the sum of its proper divisors (6888060120).

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

3441224040 is a wasteful number, since it uses less digits than its factorization.

3441224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15602 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 3441224040 is about 58661.9471207699. The cubic root of 3441224040 is about 1509.7474893171.

Adding to 3441224040 its reverse (404221443), we get a palindrome (3845445483).

The spelling of 3441224040 in words is "three billion, four hundred forty-one million, two hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2131 4262 6393 8524 10655 12786 13457 17048 21310 25572 26914 31965 40371 42620 51144 53828 63930 67285 80742 85240 107656 127860 134570 161484 201855 255720 269140 322968 403710 538280 807420 1614840 28676867 57353734 86030601 114707468 143384335 172061202 229414936 286768670 344122404 430153005 573537340 688244808 860306010 1147074680 1720612020 3441224040