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545677344 = 25331274973
BaseRepresentation
bin100000100001100…
…110000000100000
31102000210021121000
4200201212000200
52104143133334
6130051432000
716344116022
oct4041460040
91360707530
10545677344
11260025513
121328b5600
1389088b04
1452686012
1532d8c299
hex20866020

545677344 has 96 divisors (see below), whose sum is σ = 1604413440. Its totient is φ = 180423936.

The previous prime is 545677337. The next prime is 545677361. The reversal of 545677344 is 443776545.

545677344 is a `hidden beast` number, since 54 + 567 + 7 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 545677344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107242 + ... + 112214.

It is an arithmetic number, because the mean of its divisors is an integer number (16712640).

Almost surely, 2545677344 is an apocalyptic number.

545677344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545677344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802206720).

545677344 is an abundant number, since it is smaller than the sum of its proper divisors (1058736096).

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

545677344 is a wasteful number, since it uses less digits than its factorization.

545677344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5105 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The square root of 545677344 is about 23359.7376697599. The cubic root of 545677344 is about 817.1691717515.

The spelling of 545677344 in words is "five hundred forty-five million, six hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2286 3048 3429 4064 4572 4973 6096 6858 9144 9946 12192 13716 14919 18288 19892 27432 29838 36576 39784 44757 54864 59676 79568 89514 109728 119352 134271 159136 179028 238704 268542 358056 477408 537084 631571 716112 1074168 1263142 1432224 1894713 2148336 2526284 3789426 4296672 5052568 5684139 7578852 10105136 11368278 15157704 17052417 20210272 22736556 30315408 34104834 45473112 60630816 68209668 90946224 136419336 181892448 272838672 545677344