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3351000828 = 223727972139
BaseRepresentation
bin1100011110111100…
…0011011011111100
322122112111110221210
43013233003123330
523330324011303
61312303324420
7146020015500
oct30757033374
98575443853
103351000828
11146a60957a
127962b0710
1341532b136
1423b094300
151492c9203
hexc7bc36fc

3351000828 has 72 divisors (see below), whose sum is σ = 9210835200. Its totient is φ = 945296352.

The previous prime is 3351000827. The next prime is 3351000839. The reversal of 3351000828 is 8280001533.

It is a happy number.

It is a super-3 number, since 3×33510008283 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3351000795 and 3351000804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3351000823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10383 + ... + 82521.

Almost surely, 23351000828 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 3351000828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605417600).

3351000828 is an abundant number, since it is smaller than the sum of its proper divisors (5859834372).

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

3351000828 is a wasteful number, since it uses less digits than its factorization.

3351000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72239 (or 72230 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 3351000828 is about 57887.8297053880. The cubic root of 3351000828 is about 1496.4361062581.

The spelling of 3351000828 in words is "three billion, three hundred fifty-one million, eight hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 3318 3871 6636 7742 11613 15484 23226 46452 72139 144278 216417 288556 432834 504973 865668 1009946 1514919 2019892 3029838 3534811 5698981 6059676 7069622 10604433 11397962 14139244 17096943 21208866 22795924 34193886 39892867 42417732 68387772 79785734 119678601 159571468 239357202 279250069 478714404 558500138 837750207 1117000276 1675500414 3351000828