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3422024010 = 2345171811373
BaseRepresentation
bin1100101111110111…
…1111000101001010
322211111010211110000
43023331333011022
524002014232020
61323321503430
7150541503246
oct31375770512
98744124400
103422024010
1114a6709319
127b6041b76
13426c675a2
142466a1426
15150658090
hexcbf7f14a

3422024010 has 160 divisors (see below), whose sum is σ = 9803665872. Its totient is φ = 853493760.

The previous prime is 3422023999. The next prime is 3422024033. The reversal of 3422024010 is 104202243.

3422024010 is a `hidden beast` number, since 3 + 422 + 0 + 240 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1967898321 + 1454125689 = 44361^2 + 38133^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2491684 + ... + 2493056.

Almost surely, 23422024010 is an apocalyptic number.

3422024010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3422024010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901832936).

3422024010 is an abundant number, since it is smaller than the sum of its proper divisors (6381641862).

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

3422024010 is a wasteful number, since it uses less digits than its factorization.

3422024010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3422024010 is about 58498.0684296499. The cubic root of 3422024010 is about 1506.9344132091.

Adding to 3422024010 its reverse (104202243), we get a palindrome (3526226253).

The spelling of 3422024010 in words is "three billion, four hundred twenty-two million, twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 181 255 270 306 362 405 459 510 543 765 810 905 918 1086 1373 1377 1530 1629 1810 2295 2715 2746 2754 3077 3258 4119 4590 4887 5430 6154 6865 6885 8145 8238 9231 9774 12357 13730 13770 14661 15385 16290 18462 20595 23341 24435 24714 27693 29322 30770 37071 41190 46155 46682 48870 55386 61785 70023 73305 74142 83079 92310 111213 116705 123570 138465 140046 146610 166158 185355 210069 222426 233410 248513 249237 276930 350115 370710 415395 420138 497026 498474 556065 630207 700230 745539 830790 1050345 1112130 1242565 1246185 1260414 1491078 1890621 2100690 2236617 2485130 2492370 3151035 3727695 3781242 4224721 4473234 6302070 6709851 7455390 8449442 9453105 11183085 12674163 13419702 18906210 20129553 21123605 22366170 25348326 33549255 38022489 40259106 42247210 63370815 67098510 76044978 100647765 114067467 126741630 190112445 201295530 228134934 342202401 380224890 570337335 684404802 1140674670 1711012005 3422024010