Base | Representation |
---|---|
bin | 10101000100000… |
… | …111010100100110 |
3 | 220121222120210200 |
4 | 111010013110212 |
5 | 1210432300402 |
6 | 55022331330 |
7 | 11520564666 |
oct | 2504072446 |
9 | 817876720 |
10 | 353400102 |
11 | 171537800 |
12 | 9a429b46 |
13 | 582a69b3 |
14 | 34d141a6 |
15 | 2105b21c |
hex | 15107526 |
353400102 has 72 divisors (see below), whose sum is σ = 846725880. Its totient is φ = 106444800.
The previous prime is 353400079. The next prime is 353400109. The reversal of 353400102 is 201004353.
It is a super-2 number, since 2×3534001022 = 249783264187220808, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (353400109) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459174 + ... + 459942.
Almost surely, 2353400102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 353400102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423362940).
353400102 is an abundant number, since it is smaller than the sum of its proper divisors (493325778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
353400102 is a wasteful number, since it uses less digits than its factorization.
353400102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1010 (or 996 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 353400102 is about 18798.9388530310. The cubic root of 353400102 is about 707.0045740184.
Adding to 353400102 its reverse (201004353), we get a palindrome (554404455).
The spelling of 353400102 in words is "three hundred fifty-three million, four hundred thousand, one hundred two".
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