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4354315344 = 243230238301
BaseRepresentation
bin1000000111000100…
…11001010001010000
3102020110102010201200
410003202121101100
532404201042334
62000024031200
7212622032631
oct40342312120
912213363650
104354315344
111934996625
12a16302500
13545158b72
142d4425888
151a7412799
hex103899450

4354315344 has 30 divisors (see below), whose sum is σ = 12186035706. Its totient is φ = 1451438400.

The previous prime is 4354315319. The next prime is 4354315351. The reversal of 4354315344 is 4435134534.

4354315344 is a `hidden beast` number, since 43 + 54 + 31 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3324675600 + 1029639744 = 57660^2 + 32088^2 .

It is a super-2 number, since 2×43543153442 = 37920124229987676672, which contains 22 as substring.

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 = 4354315299 and 4354315308.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15119007 + ... + 15119294.

Almost surely, 24354315344 is an apocalyptic number.

It is an amenable number.

4354315344 is an abundant number, since it is smaller than the sum of its proper divisors (7831720362).

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

4354315344 is a wasteful number, since it uses less digits than its factorization.

4354315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30238315 (or 30238306 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 4354315344 is about 65987.2362203479. The cubic root of 4354315344 is about 1632.9515248420.

Adding to 4354315344 its reverse (4435134534), we get a palindrome (8789449878).

The spelling of 4354315344 in words is "four billion, three hundred fifty-four million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30238301 60476602 90714903 120953204 181429806 241906408 272144709 362859612 483812816 544289418 725719224 1088578836 1451438448 2177157672 4354315344