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3440140020 = 2232564329723
BaseRepresentation
bin1100110100001100…
…0101111011110100
322212202020012221100
43031003011323310
524021133440040
61325210050100
7151151464512
oct31503057364
98782205840
103440140020
111505962129
12800119930
1342a93b315
14248c594b2
15152035b30
hexcd0c5ef4

3440140020 has 72 divisors (see below), whose sum is σ = 10451671776. Its totient is φ = 915913152.

The previous prime is 3440140003. The next prime is 3440140031. The reversal of 3440140020 is 200410443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3440139975 and 3440140002.

It is a congruent number.

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, 100879 + ... + 130601.

It is an arithmetic number, because the mean of its divisors is an integer number (145162108).

Almost surely, 23440140020 is an apocalyptic number.

3440140020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3440140020 is an abundant number, since it is smaller than the sum of its proper divisors (7011531756).

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

3440140020 is a wasteful number, since it uses less digits than its factorization.

3440140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3440140020 is about 58652.7068429071. The cubic root of 3440140020 is about 1509.5889441471.

Adding to 3440140020 its reverse (200410443), we get a palindrome (3640550463).

The spelling of 3440140020 in words is "three billion, four hundred forty million, one hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 643 1286 1929 2572 3215 3858 5787 6430 7716 9645 11574 12860 19290 23148 28935 29723 38580 57870 59446 89169 115740 118892 148615 178338 267507 297230 356676 445845 535014 594460 891690 1070028 1337535 1783380 2675070 5350140 19111889 38223778 57335667 76447556 95559445 114671334 172007001 191118890 229342668 286678335 344014002 382237780 573356670 688028004 860035005 1146713340 1720070010 3440140020