Search a number
-
+
545676340 = 22511532883
BaseRepresentation
bin100000100001100…
…101110000110100
31102000210020012211
4200201211300310
52104143120330
6130051423204
716344113056
oct4041456064
91360706184
10545676340
11260024790
121328b4b04
1389088511
14526858d6
1532d8bd2a
hex20865c34

545676340 has 72 divisors (see below), whose sum is σ = 1275569568. Its totient is φ = 194463360.

The previous prime is 545676337. The next prime is 545676349. The reversal of 545676340 is 43676545.

It is a junction number, because it is equal to n+sod(n) for n = 545676293 and 545676302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545676349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 617539 + ... + 618421.

It is an arithmetic number, because the mean of its divisors is an integer number (17716244).

Almost surely, 2545676340 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 545676340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637784784).

545676340 is an abundant number, since it is smaller than the sum of its proper divisors (729893228).

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

545676340 is a wasteful number, since it uses less digits than its factorization.

545676340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The square root of 545676340 is about 23359.7161797827. The cubic root of 545676340 is about 817.1686705773.

It can be divided in two parts, 5456 and 76340, that added together give a square (81796 = 2862).

The spelling of 545676340 in words is "five hundred forty-five million, six hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 883 1060 1166 1766 2332 2809 2915 3532 4415 5618 5830 8830 9713 11236 11660 14045 17660 19426 28090 30899 38852 46799 48565 56180 61798 93598 97130 123596 154495 187196 194260 233995 308990 467990 514789 617980 935980 1029578 2059156 2480347 2573945 4960694 5147890 9921388 10295780 12401735 24803470 27283817 49606940 54567634 109135268 136419085 272838170 545676340