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4324740560 = 245731376733
BaseRepresentation
bin1000000011100011…
…00100110111010000
3102011101202120202022
410001301210313100
532324113144220
61553050111012
7212112455030
oct40161446720
912141676668
104324740560
11191a226658
12a0841b468
1353bca25aa
142d05278c0
151a4a1e925
hex101c64dd0

4324740560 has 160 divisors (see below), whose sum is σ = 12184553472. Its totient is φ = 1395947520.

The previous prime is 4324740559. The next prime is 4324740601. The reversal of 4324740560 is 650474234.

It is a super-2 number, since 2×43247405602 = 37406761822618227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4324740560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638954 + ... + 645686.

Almost surely, 24324740560 is an apocalyptic number.

4324740560 is a gapful number since it is divisible by the number (40) 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 4324740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092276736).

4324740560 is an abundant number, since it is smaller than the sum of its proper divisors (7859812912).

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

4324740560 is a wasteful number, since it uses less digits than its factorization.

4324740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 4324740560 is about 65762.7596744541. The cubic root of 4324740560 is about 1629.2460864193.

The spelling of 4324740560 in words is "four billion, three hundred twenty-four million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 370 434 496 518 560 592 620 740 868 1036 1085 1147 1240 1295 1480 1736 2072 2170 2294 2480 2590 2960 3472 4144 4340 4588 5180 5735 6733 8029 8680 9176 10360 11470 13466 16058 17360 18352 20720 22940 26932 32116 33665 40145 45880 47131 53864 64232 67330 80290 91760 94262 107728 128464 134660 160580 188524 208723 235655 249121 269320 321160 377048 417446 471310 498242 538640 642320 754096 834892 942620 996484 1043615 1245605 1461061 1669784 1743847 1885240 1992968 2087230 2491210 2922122 3339568 3487694 3770480 3985936 4174460 4982420 5844244 6975388 7305305 7722751 8348920 8719235 9964840 11688488 13950776 14610610 15445502 16697840 17438470 19929680 23376976 27901552 29221220 30891004 34876940 38613755 54059257 58442440 61782008 69753880 77227510 108118514 116884880 123564016 139507760 154455020 216237028 270296285 308910040 432474056 540592570 617820080 864948112 1081185140 2162370280 4324740560