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4234400544 = 253114009849
BaseRepresentation
bin1111110001100011…
…1101001100100000
3101221002202211112210
43330120331030200
532133001304134
61540101522120
7206634545043
oct37430751440
911832684483
104234400544
111883232890
129a2113340
1352636196a
142c252cc5a
1519bb272e9
hexfc63d320

4234400544 has 48 divisors (see below), whose sum is σ = 12125786400. Its totient is φ = 1283151360.

The previous prime is 4234400491. The next prime is 4234400549. The reversal of 4234400544 is 4450044324.

4234400544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4234400549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2003869 + ... + 2005980.

It is an arithmetic number, because the mean of its divisors is an integer number (252620550).

Almost surely, 24234400544 is an apocalyptic number.

4234400544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4234400544 is an abundant number, since it is smaller than the sum of its proper divisors (7891385856).

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

4234400544 is a wasteful number, since it uses less digits than its factorization.

4234400544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4009873 (or 4009865 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4234400544 is about 65072.2716984738. The cubic root of 4234400544 is about 1617.8216599136.

Adding to 4234400544 its reverse (4450044324), we get a palindrome (8684444868).

The spelling of 4234400544 in words is "four billion, two hundred thirty-four million, four hundred thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4009849 8019698 12029547 16039396 24059094 32078792 44108339 48118188 64157584 88216678 96236376 128315168 132325017 176433356 192472752 264650034 352866712 384945504 529300068 705733424 1058600136 1411466848 2117200272 4234400544