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3440055164 = 2271323731949
BaseRepresentation
bin1100110100001011…
…0001001101111100
322212202001220112112
43031002301031330
524021123231124
61325204153152
7151150662230
oct31502611574
98782056475
103440055164
1115059043a7
128000987b8
1342a90b800
14248c365c0
1515201a90e
hexcd0b137c

3440055164 has 72 divisors (see below), whose sum is σ = 7473866400. Its totient is φ = 1356556032.

The previous prime is 3440055163. The next prime is 3440055181. The reversal of 3440055164 is 4615500443.

3440055164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3440055164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440055163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764062 + ... + 1766010.

It is an arithmetic number, because the mean of its divisors is an integer number (103803700).

Almost surely, 23440055164 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 3440055164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3736933200).

3440055164 is an abundant number, since it is smaller than the sum of its proper divisors (4033811236).

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

3440055164 is a wasteful number, since it uses less digits than its factorization.

3440055164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 3440055164 is about 58651.9834617722. The cubic root of 3440055164 is about 1509.5765319844.

The spelling of 3440055164 in words is "three billion, four hundred forty million, fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 373 676 746 1183 1492 1949 2366 2611 3898 4732 4849 5222 7796 9698 10444 13643 19396 25337 27286 33943 50674 54572 63037 67886 101348 126074 135772 177359 252148 329381 354718 441259 658762 709436 726977 882518 1317524 1453954 1765036 2305667 2907908 4611334 5088839 9222668 9450701 10177678 18901402 20355356 37802804 66154907 122859113 132309814 245718226 264619628 491436452 860013791 1720027582 3440055164