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54346432 = 267121309
BaseRepresentation
bin1100111101010…
…0001011000000
310210021002021211
43033110023000
5102403041212
65220455504
71226636260
oct317241300
9123232254
1054346432
112874a308
121624a594
13b34a86a
1473097a0
154b879a7
hex33d42c0

54346432 has 28 divisors (see below), whose sum is σ = 123250960. Its totient is φ = 23291136.

The previous prime is 54346421. The next prime is 54346463. The reversal of 54346432 is 23464345.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×543464322 = 5907069342261248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54346394 and 54346403.

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 3 ways as a sum of consecutive naturals, for example, 60207 + ... + 61102.

It is an arithmetic number, because the mean of its divisors is an integer number (4401820).

Almost surely, 254346432 is an apocalyptic number.

It is an amenable number.

54346432 is an abundant number, since it is smaller than the sum of its proper divisors (68904528).

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

54346432 is a wasteful number, since it uses less digits than its factorization.

54346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121328 (or 121318 counting only the distinct ones).

The product of its digits is 34560, while the sum is 31.

The square root of 54346432 is about 7372.0032555609. The cubic root of 54346432 is about 378.7828832818.

The spelling of 54346432 in words is "fifty-four million, three hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 121309 242618 485236 849163 970472 1698326 1940944 3396652 3881888 6793304 7763776 13586608 27173216 54346432