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3044056644 = 22324110320023
BaseRepresentation
bin1011010101110000…
…1001111001000100
321212010221002200200
42311130021321010
522213234303034
61222020410500
7135302024466
oct26534117104
97763832620
103044056644
1113223218a2
1270b546a30
1339686b665
1420c3d4136
1512c397a99
hexb5709e44

3044056644 has 72 divisors (see below), whose sum is σ = 7959299712. Its totient is φ = 980277120.

The previous prime is 3044056597. The next prime is 3044056657. The reversal of 3044056644 is 4466504403.

3044056644 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 0 + 5 + 6 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3044056599 and 3044056608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142017 + ... + 162039.

Almost surely, 23044056644 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 3044056644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979649856).

3044056644 is an abundant number, since it is smaller than the sum of its proper divisors (4915243068).

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

3044056644 is a wasteful number, since it uses less digits than its factorization.

3044056644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20172 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3044056644 is about 55172.9702299958. The cubic root of 3044056644 is about 1449.2753642820.

The spelling of 3044056644 in words is "three billion, forty-four million, fifty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 103 123 164 206 246 309 369 412 492 618 738 927 1236 1476 1854 3708 4223 8446 12669 16892 20023 25338 38007 40046 50676 60069 76014 80092 120138 152028 180207 240276 360414 720828 820943 1641886 2062369 2462829 3283772 4124738 4925658 6187107 7388487 8249476 9851316 12374214 14776974 18561321 24748428 29553948 37122642 74245284 84557129 169114258 253671387 338228516 507342774 761014161 1014685548 1522028322 3044056644