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3044435072 = 2773174079
BaseRepresentation
bin1011010101110110…
…0110010010000000
321212011122022210112
42311131212102000
522213333410242
61222032450452
7135305162000
oct26535462200
97764568715
103044435072
111322560148
1270b6a9a28
13396971993
1420c492000
1512c41ec82
hexb5766480

3044435072 has 128 divisors (see below), whose sum is σ = 7490880000. Its totient is φ = 1227706368.

The previous prime is 3044435029. The next prime is 3044435083. The reversal of 3044435072 is 2705344403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744329 + ... + 748407.

It is an arithmetic number, because the mean of its divisors is an integer number (58522500).

Almost surely, 23044435072 is an apocalyptic number.

3044435072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745440000).

3044435072 is an abundant number, since it is smaller than the sum of its proper divisors (4446444928).

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

3044435072 is an equidigital number, since it uses as much as digits as its factorization.

3044435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 32.

The square root of 3044435072 is about 55176.3995925794. The cubic root of 3044435072 is about 1449.3354183170.

Adding to 3044435072 its reverse (2705344403), we get a palindrome (5749779475).

The spelling of 3044435072 in words is "three billion, forty-four million, four hundred thirty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 272 343 392 448 476 544 686 784 833 896 952 1088 1372 1568 1666 1904 2176 2744 3136 3332 3808 4079 5488 5831 6272 6664 7616 8158 10976 11662 13328 15232 16316 21952 23324 26656 28553 32632 43904 46648 53312 57106 65264 69343 93296 106624 114212 130528 138686 186592 199871 228424 261056 277372 373184 399742 456848 485401 522112 554744 746368 799484 913696 970802 1109488 1399097 1598968 1827392 1941604 2218976 2798194 3197936 3397807 3654784 3883208 4437952 5596388 6395872 6795614 7766416 8875904 11192776 12791744 13591228 15532832 22385552 23784649 25583488 27182456 31065664 44771104 47569298 54364912 62131328 89542208 95138596 108729824 179084416 190277192 217459648 380554384 434919296 761108768 1522217536 3044435072