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3444342440 = 2357112101663
BaseRepresentation
bin1100110101001100…
…0111111010101000
322220001010201120112
43031103013322220
524023222424230
61325440113452
7151232266460
oct31523077250
98801121515
103444342440
111508272500
12801605888
1342b780066
14249630ba0
151525b5d95
hexcd4c7ea8

3444342440 has 96 divisors (see below), whose sum is σ = 9735344640. Its totient is φ = 1073550720.

The previous prime is 3444342431. The next prime is 3444342463. The reversal of 3444342440 is 442434443.

It is a super-3 number, since 3×34443424403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3444342397 and 3444342406.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16952 + ... + 84711.

It is an arithmetic number, because the mean of its divisors is an integer number (101409840).

Almost surely, 23444342440 is an apocalyptic number.

It is an amenable number.

3444342440 is an abundant number, since it is smaller than the sum of its proper divisors (6291002200).

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

3444342440 is a wasteful number, since it uses less digits than its factorization.

3444342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101703 (or 101688 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

The square root of 3444342440 is about 58688.5205129589. The cubic root of 3444342440 is about 1510.2033905817.

Adding to 3444342440 its reverse (442434443), we get a palindrome (3886776883).

The spelling of 3444342440 in words is "three billion, four hundred forty-four million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880 101663 203326 406652 508315 711641 813304 1016630 1118293 1423282 2033260 2236586 2846564 3558205 4066520 4473172 5591465 5693128 7116410 7828051 8946344 11182930 12301223 14232820 15656102 22365860 24602446 28465640 31312204 39140255 44731720 49204892 61506115 62624408 78280510 86108561 98409784 123012230 156561020 172217122 246024460 313122040 344434244 430542805 492048920 688868488 861085610 1722171220 3444342440