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354542544 = 243219312757
BaseRepresentation
bin10101001000011…
…110001111010000
3220201010121221100
4111020132033100
51211230330134
655103024400
711533363506
oct2510361720
9821117840
10354542544
11172148074
129a89b100
13585b69b5
1435130676
15211d4999
hex1521e3d0

354542544 has 60 divisors (see below), whose sum is σ = 997445956. Its totient is φ = 117559296.

The previous prime is 354542543. The next prime is 354542563. The reversal of 354542544 is 445245453.

354542544 is a `hidden beast` number, since 35 + 45 + 42 + 544 = 666.

354542544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 143712144 + 210830400 = 11988^2 + 14520^2 .

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 = 354542499 and 354542508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354542543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21414 + ... + 34170.

Almost surely, 2354542544 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 354542544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498722978).

354542544 is an abundant number, since it is smaller than the sum of its proper divisors (642903412).

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

354542544 is a wasteful number, since it uses less digits than its factorization.

354542544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12955 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 354542544 is about 18829.3001463145. The cubic root of 354542544 is about 707.7656027668.

Adding to 354542544 its reverse (445245453), we get a palindrome (799787997).

The spelling of 354542544 in words is "three hundred fifty-four million, five hundred forty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 12757 13896 25514 27792 38271 51028 76542 102056 114813 153084 204112 229626 306168 459252 612336 918504 1837008 2462101 4924202 7386303 9848404 14772606 19696808 22158909 29545212 39393616 44317818 59090424 88635636 118180848 177271272 354542544