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3441144120 = 233567428003
BaseRepresentation
bin1100110100011011…
…1011000100111000
322212211010020022020
43031012323010320
524021413102440
61325243354440
7151163146101
oct31506730470
98784106266
103441144120
111506488567
12800522a20
1342ac0036b
1424903b3a8
151521833d0
hexcd1bb138

3441144120 has 64 divisors (see below), whose sum is σ = 10477537920. Its totient is φ = 903940224.

The previous prime is 3441144079. The next prime is 3441144137. The reversal of 3441144120 is 214411443.

3441144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34411441202 = 23682945709221148800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205962 + ... + 222041.

It is an arithmetic number, because the mean of its divisors is an integer number (163711530).

Almost surely, 23441144120 is an apocalyptic number.

3441144120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441144120 is an abundant number, since it is smaller than the sum of its proper divisors (7036393800).

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

3441144120 is a wasteful number, since it uses less digits than its factorization.

3441144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428084 (or 428080 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3441144120 is about 58661.2659256515. The cubic root of 3441144120 is about 1509.7358016199.

Adding to 3441144120 its reverse (214411443), we get a palindrome (3655555563).

The spelling of 3441144120 in words is "three billion, four hundred forty-one million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 428003 856006 1284009 1712012 2140015 2568018 3424024 4280030 5136036 6420045 8560060 10272072 12840090 17120120 25680180 28676201 51360360 57352402 86028603 114704804 143381005 172057206 229409608 286762010 344114412 430143015 573524020 688228824 860286030 1147048040 1720572060 3441144120