Search a number
-
+
3454110660420 = 2233571931473219
BaseRepresentation
bin110010010000111001000…
…010011111011101000100
3110020012122220121000002000
4302100321002133131010
5423043004312113140
611202444014545300
7504360040116420
oct62207102373504
913205586530060
103454110660420
111111975468142
1247951a808230
131c094b7364b4
14bd273707b80
155ecb1815a30
hex3243909f744

3454110660420 has 192 divisors, whose sum is σ = 12287668377600. Its totient is φ = 789100479360.

The previous prime is 3454110660373. The next prime is 3454110660421. The reversal of 3454110660420 is 240660114543.

3454110660420 is a `hidden beast` number, since 3 + 4 + 5 + 41 + 1 + 0 + 6 + 604 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3454110660421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7062571 + ... + 7535789.

It is an arithmetic number, because the mean of its divisors is an integer number (63998272800).

Almost surely, 23454110660420 is an apocalyptic number.

3454110660420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454110660420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143834188800).

3454110660420 is an abundant number, since it is smaller than the sum of its proper divisors (8833557717180).

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

3454110660420 is a wasteful number, since it uses less digits than its factorization.

3454110660420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475175 (or 475167 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3454110660420 its reverse (240660114543), we get a palindrome (3694770774963).

The spelling of 3454110660420 in words is "three trillion, four hundred fifty-four billion, one hundred ten million, six hundred sixty thousand, four hundred twenty".