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3444714240 = 28351181551
BaseRepresentation
bin1100110101010010…
…0010101100000000
322220001211121120220
43031110202230000
524023321323430
61325452103040
7151235405442
oct31524425400
98801747526
103444714240
1115084a6880
12801764a80
1342b880366
142496ca492
1515263b110
hexcd522b00

3444714240 has 144 divisors (see below), whose sum is σ = 12001844736. Its totient is φ = 835072000.

The previous prime is 3444714187. The next prime is 3444714241. The reversal of 3444714240 is 424174443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3444714241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465 + ... + 83015.

It is an arithmetic number, because the mean of its divisors is an integer number (83346144).

Almost surely, 23444714240 is an apocalyptic number.

3444714240 is a gapful number since it is divisible by the number (30) 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 3444714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000922368).

3444714240 is an abundant number, since it is smaller than the sum of its proper divisors (8557130496).

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

3444714240 is a wasteful number, since it uses less digits than its factorization.

3444714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81586 (or 81572 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

The square root of 3444714240 is about 58691.6879975351. The cubic root of 3444714240 is about 1510.2577283281.

Adding to 3444714240 its reverse (424174443), we get a palindrome (3868888683).

The spelling of 3444714240 in words is "three billion, four hundred forty-four million, seven hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 81551 163102 244653 326204 407755 489306 652408 815510 897061 978612 1223265 1304816 1631020 1794122 1957224 2446530 2609632 2691183 3262040 3588244 3914448 4485305 4893060 5219264 5382366 6524080 7176488 7828896 8970610 9786120 10438528 10764732 13048160 13455915 14352976 15657792 17941220 19572240 20877056 21529464 26096320 26911830 28705952 31315584 35882440 39144480 43058928 52192640 53823660 57411904 62631168 71764880 78288960 86117856 104385280 107647320 114823808 143529760 156577920 172235712 215294640 229647616 287059520 313155840 344471424 430589280 574119040 688942848 861178560 1148238080 1722357120 3444714240