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3355114120 = 235375342773
BaseRepresentation
bin1100011111111010…
…1111101010001000
322122211020110022221
43013332233222020
523332402122440
61312531423424
7146066666551
oct30776575210
98584213287
103355114120
111471968996
12797754b74
1341613b437
1423b845328
1514983cd4a
hexc7fafa88

3355114120 has 64 divisors (see below), whose sum is σ = 7899502320. Its totient is φ = 1281106944.

The previous prime is 3355114111. The next prime is 3355114171. The reversal of 3355114120 is 214115533.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1787429284 + 1567684836 = 42278^2 + 39594^2 .

It is a super-2 number, since 2×33551141202 = 22513581516446748800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 57054 + ... + 99826.

Almost surely, 23355114120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3355114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949751160).

3355114120 is an abundant number, since it is smaller than the sum of its proper divisors (4544388200).

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

3355114120 is a wasteful number, since it uses less digits than its factorization.

3355114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42874 (or 42870 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 3355114120 is about 57923.3469336847. The cubic root of 3355114120 is about 1497.0481385234.

Adding to 3355114120 its reverse (214115533), we get a palindrome (3569229653).

The spelling of 3355114120 in words is "three billion, three hundred fifty-five million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 212 265 296 370 424 530 740 1060 1480 1961 2120 3922 7844 9805 15688 19610 39220 42773 78440 85546 171092 213865 342184 427730 855460 1582601 1710920 2266969 3165202 4533938 6330404 7913005 9067876 11334845 12660808 15826010 18135752 22669690 31652020 45339380 63304040 83877853 90678760 167755706 335511412 419389265 671022824 838778530 1677557060 3355114120