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4404040344 = 23321119927943
BaseRepresentation
bin1000001101000000…
…00101001010011000
3102100220222102121100
410012200011022120
533004413242334
62005001511400
7214064503524
oct40640051230
912326872540
104404040344
11195aa69770
12a2aaa2560
13552549042
142dac8ad84
151ab985c99
hex106805298

4404040344 has 96 divisors (see below), whose sum is σ = 13077792000. Its totient is φ = 1327803840.

The previous prime is 4404040339. The next prime is 4404040351. The reversal of 4404040344 is 4430404044.

It is a congruent number.

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, 143637 + ... + 171579.

It is an arithmetic number, because the mean of its divisors is an integer number (136227000).

Almost surely, 24404040344 is an apocalyptic number.

4404040344 is a gapful number since it is divisible by the number (44) 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 4404040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538896000).

4404040344 is an abundant number, since it is smaller than the sum of its proper divisors (8673751656).

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

4404040344 is a wasteful number, since it uses less digits than its factorization.

4404040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28165 (or 28158 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4404040344 is about 66362.9440576592. The cubic root of 4404040344 is about 1639.1439543900.

Adding to 4404040344 its reverse (4430404044), we get a palindrome (8834444388).

The spelling of 4404040344 in words is "four billion, four hundred four million, forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 199 264 396 398 597 792 796 1194 1592 1791 2189 2388 3582 4378 4776 6567 7164 8756 13134 14328 17512 19701 26268 27943 39402 52536 55886 78804 83829 111772 157608 167658 223544 251487 307373 335316 502974 614746 670632 922119 1005948 1229492 1844238 2011896 2458984 2766357 3688476 5532714 5560657 7376952 11065428 11121314 16681971 22130856 22242628 33363942 44485256 50045913 61167227 66727884 100091826 122334454 133455768 183501681 200183652 244668908 367003362 400367304 489337816 550505043 734006724 1101010086 1468013448 2202020172 4404040344