Base | Representation |
---|---|
bin | 10101000010010… |
… | …001001000111100 |
3 | 220121001222210000 |
4 | 111002101020330 |
5 | 1210321303103 |
6 | 55004114300 |
7 | 11513510463 |
oct | 2502211074 |
9 | 817058700 |
10 | 352916028 |
11 | 171237043 |
12 | 9a235990 |
13 | 5816756a |
14 | 34c299da |
15 | 20eb2aa3 |
hex | 1509123c |
352916028 has 120 divisors (see below), whose sum is σ = 976719744. Its totient is φ = 110937600.
The previous prime is 352916023. The next prime is 352916099. The reversal of 352916028 is 820619253.
352916028 is a nontrivial binomial coefficient, being equal to C(26568, 2).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 352915983 and 352916001.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (352916023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411376 + ... + 412232.
Almost surely, 2352916028 is an apocalyptic number.
352916028 is the 26567-th triangular number and also the 13284-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 352916028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488359872).
352916028 is an abundant number, since it is smaller than the sum of its proper divisors (623803716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
352916028 is a wasteful number, since it uses less digits than its factorization.
352916028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 945 (or 934 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 352916028 is about 18786.0594058467. The cubic root of 352916028 is about 706.6816172028.
The spelling of 352916028 in words is "three hundred fifty-two million, nine hundred sixteen thousand, twenty-eight".
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