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544240431 = 337171131499
BaseRepresentation
bin100000011100000…
…111001100101111
31101221002021112000
4200130013030233
52103311143211
6130000543343
716325652540
oct4034071457
91357067460
10544240431
1125a233989
12132321b53
13889a4a77
14523d04c7
1532ba6656
hex2070732f

544240431 has 64 divisors (see below), whose sum is σ = 984960000. Its totient is φ = 289916928.

The previous prime is 544240423. The next prime is 544240439. The reversal of 544240431 is 134042445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (544240423) and next prime (544240439).

It is not a de Polignac number, because 544240431 - 23 = 544240423 is a prime.

It is a super-2 number, since 2×5442404312 = 592395293470131522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 544240395 and 544240404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544240439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362320 + ... + 363818.

It is an arithmetic number, because the mean of its divisors is an integer number (15390000).

Almost surely, 2544240431 is an apocalyptic number.

544240431 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

544240431 is a deficient number, since it is larger than the sum of its proper divisors (440719569).

544240431 is a wasteful number, since it uses less digits than its factorization.

544240431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 544240431 is about 23328.9612070491. The cubic root of 544240431 is about 816.4512669370.

Adding to 544240431 its reverse (134042445), we get a palindrome (678282876).

The spelling of 544240431 in words is "five hundred forty-four million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 17 21 27 51 63 113 119 153 189 339 357 459 791 1017 1071 1499 1921 2373 3051 3213 4497 5763 7119 10493 13447 13491 17289 21357 25483 31479 40341 40473 51867 76449 94437 121023 169387 178381 229347 283311 363069 508161 535143 688041 1185709 1524483 1605429 2879579 3557127 4573449 4816287 8638737 10671381 20157053 25916211 32014143 60471159 77748633 181413477 544240431