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354122313444 = 22329836730929
BaseRepresentation
bin1010010011100110101…
…01011010111011100100
31020212001101121102022200
411021303111122323210
521300220303012234
6430403114054500
734404323666544
oct5116325327344
91225041542280
10354122313444
111272008a5469
125876aa1a430
1327516946c53
14131d5145324
159328dd9d99
hex527355aee4

354122313444 has 18 divisors (see below), whose sum is σ = 895142514630. Its totient is φ = 118040771136.

The previous prime is 354122313437. The next prime is 354122313449. The reversal of 354122313444 is 444313221453.

354122313444 is a `hidden beast` number, since 3 + 5 + 412 + 231 + 3 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 353014222500 + 1108090944 = 594150^2 + 33288^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×3541223134442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9836730929 = 354122313444 / (3 + 5 + 4 + 1 + 2 + 2 + 3 + 1 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 354122313399 and 354122313408.

It is not an unprimeable number, because it can be changed into a prime (354122313449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4918365429 + ... + 4918365500.

Almost surely, 2354122313444 is an apocalyptic number.

It is an amenable number.

354122313444 is an abundant number, since it is smaller than the sum of its proper divisors (541020201186).

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

354122313444 is a wasteful number, since it uses less digits than its factorization.

354122313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9836730939 (or 9836730934 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 354122313444 its reverse (444313221453), we get a palindrome (798435534897).

The spelling of 354122313444 in words is "three hundred fifty-four billion, one hundred twenty-two million, three hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9836730929 19673461858 29510192787 39346923716 59020385574 88530578361 118040771148 177061156722 354122313444