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4023424344 = 2331943449457
BaseRepresentation
bin1110111111010000…
…1001010101011000
3101101101210010121110
43233310021111120
531214444034334
61503123540320
7201463354062
oct35764112530
911341703543
104023424344
111785133295
1294352a6a0
134c1733684
142a24d0732
15188350ae9
hexefd09558

4023424344 has 128 divisors (see below), whose sum is σ = 10882080000. Its totient is φ = 1235533824.

The previous prime is 4023424343. The next prime is 4023424367. The reversal of 4023424344 is 4434243204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4023424343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8803764 + ... + 8804220.

It is an arithmetic number, because the mean of its divisors is an integer number (85016250).

Almost surely, 24023424344 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 4023424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441040000).

4023424344 is an abundant number, since it is smaller than the sum of its proper divisors (6858655656).

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

4023424344 is a wasteful number, since it uses less digits than its factorization.

4023424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

The square root of 4023424344 is about 63430.4685778057. The cubic root of 4023424344 is about 1590.4936752710.

Adding to 4023424344 its reverse (4434243204), we get a palindrome (8457667548).

The spelling of 4023424344 in words is "four billion, twenty-three million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 449 456 457 516 817 898 914 1032 1347 1371 1634 1796 1828 2451 2694 2742 3268 3592 3656 4902 5388 5484 6536 8531 8683 9804 10776 10968 17062 17366 19307 19608 19651 25593 26049 34124 34732 38614 39302 51186 52098 57921 58953 68248 69464 77228 78604 102372 104196 115842 117906 154456 157208 204744 205193 208392 231684 235812 366833 373369 410386 463368 471624 615579 733666 746738 820772 1100499 1120107 1231158 1467332 1493476 1641544 2200998 2240214 2462316 2934664 2986952 3898667 4401996 4480428 4924632 7797334 8803992 8823299 8960856 11696001 15594668 17646598 23392002 26469897 31189336 35293196 46784004 52939794 70586392 93568008 105879588 167642681 211759176 335285362 502928043 670570724 1005856086 1341141448 2011712172 4023424344