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3442004544 = 263116126717
BaseRepresentation
bin1100110100101000…
…1101001001000000
322212212201221120210
43031022031021000
524022123121134
61325314034120
7151203361446
oct31512151100
98785657523
103442004544
111506a15a60
12800878940
1342b141ba4
142491c2b96
151522a32e9
hexcd28d240

3442004544 has 112 divisors (see below), whose sum is σ = 10098121536. Its totient is φ = 1025894400.

The previous prime is 3442004543. The next prime is 3442004557. The reversal of 3442004544 is 4454002443.

It is not an unprimeable number, because it can be changed into a prime (3442004543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115474 + ... + 142190.

Almost surely, 23442004544 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 3442004544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049060768).

3442004544 is an abundant number, since it is smaller than the sum of its proper divisors (6656116992).

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

3442004544 is a wasteful number, since it uses less digits than its factorization.

3442004544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26804 (or 26794 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 3442004544 is about 58668.5993015003. The cubic root of 3442004544 is about 1509.8616226278.

Adding to 3442004544 its reverse (4454002443), we get a palindrome (7896006987).

The spelling of 3442004544 in words is "three billion, four hundred forty-two million, four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 176 183 192 244 264 352 366 488 528 671 704 732 976 1056 1342 1464 1952 2013 2112 2684 2928 3904 4026 5368 5856 8052 10736 11712 16104 21472 26717 32208 42944 53434 64416 80151 106868 128832 160302 213736 293887 320604 427472 587774 641208 854944 881661 1175548 1282416 1629737 1709888 1763322 2351096 2564832 3259474 3526644 4702192 4889211 5129664 6518948 7053288 9404384 9778422 13037896 14106576 17927107 18808768 19556844 26075792 28213152 35854214 39113688 52151584 53781321 56426304 71708428 78227376 104303168 107562642 143416856 156454752 215125284 286833712 312909504 430250568 573667424 860501136 1147334848 1721002272 3442004544