Search a number
-
+
2745016344 = 233372962603
BaseRepresentation
bin1010001110011101…
…1010000000011000
321002022020021112000
42203213122000120
521110211010334
61132215121000
7125011153050
oct24347320030
97068207460
102745016344
111189543454
12647373160
13349918635
141c07d0560
15110ec8299
hexa39da018

2745016344 has 128 divisors (see below), whose sum is σ = 9014976000. Its totient is φ = 757233792.

The previous prime is 2745016301. The next prime is 2745016349. The reversal of 2745016344 is 4436105472.

2745016344 is a `hidden beast` number, since 2 + 7 + 450 + 163 + 44 = 666.

It is a super-2 number, since 2×27450163442 = 15070229457654252672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2745016299 and 2745016308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745016349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12547 + ... + 75149.

It is an arithmetic number, because the mean of its divisors is an integer number (70429500).

Almost surely, 22745016344 is an apocalyptic number.

2745016344 is a gapful number since it is divisible by the number (24) 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 2745016344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507488000).

2745016344 is an abundant number, since it is smaller than the sum of its proper divisors (6269959656).

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

2745016344 is a wasteful number, since it uses less digits than its factorization.

2745016344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62654 (or 62644 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2745016344 is about 52392.9035652730. The cubic root of 2745016344 is about 1400.1728262832.

The spelling of 2745016344 in words is "two billion, seven hundred forty-five million, sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 62603 125206 187809 250412 375618 438221 500824 563427 751236 876442 1126854 1314663 1502472 1690281 1752884 1815487 2253708 2629326 3380562 3505768 3630974 3943989 4507416 5258652 5446461 6761124 7261948 7887978 10517304 10892922 11831967 12708409 13522248 14523896 15775956 16339383 21785844 23663934 25416818 31551912 32678766 38125227 43571688 47327868 49018149 50833636 65357532 76250454 94655736 98036298 101667272 114375681 130715064 152500908 196072596 228751362 305001816 343127043 392145192 457502724 686254086 915005448 1372508172 2745016344