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3424622320 = 245719378699
BaseRepresentation
bin1100110000011111…
…1001011011110000
322211200000211122201
43030013321123300
524003200403240
61323453312544
7150602544430
oct31407713360
98750024581
103424622320
1114a8123489
127b6a95754
13427667152
14246b7a2c0
151509bcd9a
hexcc1f96f0

3424622320 has 160 divisors (see below), whose sum is σ = 9838656000. Its totient is φ = 1082170368.

The previous prime is 3424622281. The next prime is 3424622323. The reversal of 3424622320 is 232264243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424622323) 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, 389331 + ... + 398029.

It is an arithmetic number, because the mean of its divisors is an integer number (61491600).

Almost surely, 23424622320 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 3424622320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919328000).

3424622320 is an abundant number, since it is smaller than the sum of its proper divisors (6414033680).

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

3424622320 is a wasteful number, since it uses less digits than its factorization.

3424622320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8775 (or 8769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 3424622320 is about 58520.2727266372. The cubic root of 3424622320 is about 1507.3157169995.

Adding to 3424622320 its reverse (232264243), we get a palindrome (3656886563).

The spelling of 3424622320 in words is "three billion, four hundred twenty-four million, six hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 37 38 40 56 70 74 76 80 95 112 133 140 148 152 185 190 259 266 280 296 304 370 380 518 532 560 592 665 703 740 760 1036 1064 1295 1330 1406 1480 1520 2072 2128 2590 2660 2812 2960 3515 4144 4921 5180 5320 5624 7030 8699 9842 10360 10640 11248 14060 17398 19684 20720 24605 28120 34796 39368 43495 49210 56240 60893 69592 78736 86990 98420 121786 139184 165281 173980 196840 243572 304465 321863 330562 347960 393680 487144 608930 643726 661124 695920 826405 974288 1156967 1217860 1287452 1322248 1609315 1652810 2253041 2313934 2435720 2574904 2644496 3218630 3305620 4506082 4627868 4871440 5149808 5784835 6115397 6437260 6611240 9012164 9255736 11265205 11569670 12230794 12874520 13222480 18024328 18511472 22530410 23139340 24461588 25749040 30576985 36048656 42807779 45060820 46278680 48923176 61153970 85615558 90121640 92557360 97846352 122307940 171231116 180243280 214038895 244615880 342462232 428077790 489231760 684924464 856155580 1712311160 3424622320