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4344165945 = 335743106907
BaseRepresentation
bin1000000101110111…
…01011011000111001
3102012202022111101000
410002323223120321
532344101302240
61555022315213
7212436541560
oct40273533071
912182274330
104344165945
11192a194199
12a12a28b09
135430142c2
142d2d42bd7
151a65aa430
hex102eeb639

4344165945 has 64 divisors (see below), whose sum is σ = 9031587840. Its totient is φ = 1939702464.

The previous prime is 4344165919. The next prime is 4344165949. The reversal of 4344165945 is 5495614434.

4344165945 is a `hidden beast` number, since 4 + 3 + 44 + 16 + 594 + 5 = 666.

It is not a de Polignac number, because 4344165945 - 25 = 4344165913 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4344165945.

It is not an unprimeable number, because it can be changed into a prime (4344165949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12819 + ... + 94088.

It is an arithmetic number, because the mean of its divisors is an integer number (141118560).

Almost surely, 24344165945 is an apocalyptic number.

4344165945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4344165945 is an abundant number, since it is smaller than the sum of its proper divisors (4687421895).

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

4344165945 is a wasteful number, since it uses less digits than its factorization.

4344165945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106971 (or 106965 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 4344165945 is about 65910.2870954148. The cubic root of 4344165945 is about 1631.6817982292.

Subtracting 4344165945 from its reverse (5495614434), we obtain a square (1151448489 = 339332).

The spelling of 4344165945 in words is "four billion, three hundred forty-four million, one hundred sixty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 301 315 387 645 903 945 1161 1505 1935 2709 4515 5805 8127 13545 40635 106907 320721 534535 748349 962163 1603605 2245047 2886489 3741745 4597001 4810815 6735141 11225235 13791003 14432445 20205423 22985005 32179007 33675705 41373009 68955015 96537021 101027115 124119027 160895035 206865045 289611063 482685105 620595135 868833189 1448055315 4344165945