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54343368 = 2332412449
BaseRepresentation
bin1100111101001…
…1011011001000
310210020221002100
43033103123020
5102402441433
65220433400
71226624322
oct317233310
9123227070
1054343368
1128747a82
1216248860
13b349351
147308612
154b86b13
hex33d36c8

54343368 has 72 divisors (see below), whose sum is σ = 151193250. Its totient is φ = 17633280.

The previous prime is 54343351. The next prime is 54343381. The reversal of 54343368 is 86334345.

It can be written as a sum of positive squares in 3 ways, for example, as 20958084 + 33385284 = 4578^2 + 5778^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120808 + ... + 121256.

Almost surely, 254343368 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 54343368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75596625).

54343368 is an abundant number, since it is smaller than the sum of its proper divisors (96849882).

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

54343368 is a wasteful number, since it uses less digits than its factorization.

54343368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 495 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 54343368 is about 7371.7954393757. The cubic root of 54343368 is about 378.7757646754.

The spelling of 54343368 in words is "fifty-four million, three hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 449 492 738 898 984 1347 1476 1681 1796 2694 2952 3362 3592 4041 5043 5388 6724 8082 10086 10776 13448 15129 16164 18409 20172 30258 32328 36818 40344 55227 60516 73636 110454 121032 147272 165681 220908 331362 441816 662724 754769 1325448 1509538 2264307 3019076 4528614 6038152 6792921 9057228 13585842 18114456 27171684 54343368