Base | Representation |
---|---|
bin | 10101000111010… |
… | …101011000000100 |
3 | 220200120110112212 |
4 | 111013111120010 |
5 | 1211141302400 |
6 | 55052402552 |
7 | 11531011430 |
oct | 2507253004 |
9 | 820513485 |
10 | 354244100 |
11 | 171a63921 |
12 | 9a776458 |
13 | 58510bc2 |
14 | 350939c0 |
15 | 21176335 |
hex | 151d5604 |
354244100 has 72 divisors (see below), whose sum is σ = 900025728. Its totient is φ = 118483200.
The previous prime is 354244087. The next prime is 354244109. The reversal of 354244100 is 1442453.
It is a super-3 number, since 3×3542441003 (a number of 27 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (354244109) 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, 22529 + ... + 34871.
Almost surely, 2354244100 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 354244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450012864).
354244100 is an abundant number, since it is smaller than the sum of its proper divisors (545781628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354244100 is a wasteful number, since it uses less digits than its factorization.
354244100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12405 (or 12398 counting only the distinct ones).
The product of its (nonzero) digits is 1920, while the sum is 23.
The square root of 354244100 is about 18821.3734886697. The cubic root of 354244100 is about 707.5669545862.
Adding to 354244100 its reverse (1442453), we get a palindrome (355686553).
The spelling of 354244100 in words is "three hundred fifty-four million, two hundred forty-four thousand, one hundred".
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