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3420854145 = 3251915432593
BaseRepresentation
bin1100101111100110…
…0001011110000001
322211101221101200200
43023321201132001
524001214313040
61323240435413
7150525531462
oct31371413601
98741841620
103420854145
1114a5a8a395
127b5778b69
13426947c67
14246478d69
151504c6630
hexcbe61781

3420854145 has 48 divisors (see below), whose sum is σ = 6248012160. Its totient is φ = 1726645248.

The previous prime is 3420854111. The next prime is 3420854149. The reversal of 3420854145 is 5414580243.

It is a happy number.

3420854145 is a `hidden beast` number, since 34 + 208 + 5 + 414 + 5 = 666.

3420854145 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 not a de Polignac number, because 3420854145 - 227 = 3286636417 is a prime.

3420854145 is a modest number, since divided by 854145 gives 3420 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3420854149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317969 + ... + 1320561.

It is an arithmetic number, because the mean of its divisors is an integer number (130166920).

Almost surely, 23420854145 is an apocalyptic number.

It is an amenable number.

3420854145 is a deficient number, since it is larger than the sum of its proper divisors (2827158015).

3420854145 is a wasteful number, since it uses less digits than its factorization.

3420854145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 3420854145 is about 58488.0683986059. The cubic root of 3420854145 is about 1506.7626716948.

The spelling of 3420854145 in words is "three billion, four hundred twenty million, eight hundred fifty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 1543 2593 4629 7715 7779 12965 13887 23145 23337 29317 38895 49267 69435 87951 116685 146585 147801 246335 263853 439755 443403 739005 1319265 2217015 4000999 12002997 20004995 36008991 60014985 76018981 180044955 228056943 380094905 684170829 1140284715 3420854145