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4443770340 = 2232529851297
BaseRepresentation
bin1000010001101111…
…01000110111100100
3102110200201220220200
410020313220313210
533100101122330
62012541230500
7215056265442
oct41067506744
912420656820
104443770340
111980435479
12a40262430
1355a849a09
1430226db92
151b01d2a60
hex108de8de4

4443770340 has 72 divisors (see below), whose sum is σ = 13944261240. Its totient is φ = 1144141824.

The previous prime is 4443770339. The next prime is 4443770389. The reversal of 4443770340 is 430773444.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 4393303524 = 7104^2 + 66282^2 .

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 = 4443770295 and 4443770304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420429 + ... + 430868.

It is an arithmetic number, because the mean of its divisors is an integer number (193670295).

Almost surely, 24443770340 is an apocalyptic number.

It is an amenable number.

4443770340 is an abundant number, since it is smaller than the sum of its proper divisors (9500490900).

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

4443770340 is a wasteful number, since it uses less digits than its factorization.

4443770340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851341 (or 851336 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 4443770340 is about 66661.6106916117. The cubic root of 4443770340 is about 1644.0582544580.

The spelling of 4443770340 in words is "four billion, four hundred forty-three million, seven hundred seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 851297 1702594 2553891 3405188 4256485 5107782 7661673 8512970 10215564 12769455 15323346 17025940 24687613 25538910 30646692 38308365 49375226 51077820 74062839 76616730 98750452 123438065 148125678 153233460 222188517 246876130 296251356 370314195 444377034 493752260 740628390 888754068 1110942585 1481256780 2221885170 4443770340