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3440103444 = 2232195698839
BaseRepresentation
bin1100110100001011…
…1101000000010100
322212202011100202200
43031002331000110
524021131302234
61325205204500
7151151253051
oct31502750024
98782140680
103440103444
1115059376a8
12800100730
1342a92778b
14248c4a028
15152029d99
hexcd0bd014

3440103444 has 72 divisors (see below), whose sum is σ = 9170616000. Its totient is φ = 1084316544.

The previous prime is 3440103437. The next prime is 3440103497. The reversal of 3440103444 is 4443010443.

It is a super-2 number, since 2×34401034442 = 23668623410841322272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 384777 + ... + 393615.

Almost surely, 23440103444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585308000).

3440103444 is an abundant number, since it is smaller than the sum of its proper divisors (5730512556).

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

3440103444 is a wasteful number, since it uses less digits than its factorization.

3440103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3440103444 is about 58652.3950406119. The cubic root of 3440103444 is about 1509.5835940818.

Adding to 3440103444 its reverse (4443010443), we get a palindrome (7883113887).

The spelling of 3440103444 in words is "three billion, four hundred forty million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 569 684 1138 1707 2276 3414 5121 6828 8839 10242 10811 17678 20484 21622 26517 32433 35356 43244 53034 64866 79551 97299 106068 129732 159102 167941 194598 318204 335882 389196 503823 671764 1007646 1511469 2015292 3022938 5029391 6045876 10058782 15088173 20117564 30176346 45264519 60352692 90529038 95558429 181058076 191116858 286675287 382233716 573350574 860025861 1146701148 1720051722 3440103444