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3342810060 = 22355838287
BaseRepresentation
bin1100011100111111…
…0011101111001100
322121222002100100000
43013033303233030
523321224410220
61311412004300
7145560262632
oct30717635714
98558070300
103342810060
111465a24747
12793600690
13413720c25
14239d61352
1514870c390
hexc73f3bcc

3342810060 has 144 divisors (see below), whose sum is σ = 10643383296. Its totient is φ = 880569792.

The previous prime is 3342810059. The next prime is 3342810061. The reversal of 3342810060 is 600182433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3342810059) and next prime (3342810061).

It is a super-2 number, since 2×33428100602 = 22348758194474407200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3342810061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399237 + ... + 407523.

It is an arithmetic number, because the mean of its divisors is an integer number (73912384).

Almost surely, 23342810060 is an apocalyptic number.

3342810060 is a gapful number since it is divisible by the number (30) 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 3342810060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321691648).

3342810060 is an abundant number, since it is smaller than the sum of its proper divisors (7300573236).

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

3342810060 is a wasteful number, since it uses less digits than its factorization.

3342810060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3342810060 is about 57817.0395298825. The cubic root of 3342810060 is about 1495.2158776710.

Adding to 3342810060 its reverse (600182433), we get a palindrome (3942992493).

The spelling of 3342810060 in words is "three billion, three hundred forty-two million, eight hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 243 249 270 324 332 405 415 486 498 540 747 810 830 972 996 1215 1245 1494 1620 1660 2241 2430 2490 2988 3735 4482 4860 4980 6723 7470 8287 8964 11205 13446 14940 16574 20169 22410 24861 26892 33148 33615 40338 41435 44820 49722 67230 74583 80676 82870 99444 100845 124305 134460 149166 165740 201690 223749 248610 298332 372915 403380 447498 497220 671247 687821 745830 894996 1118745 1342494 1375642 1491660 2013741 2063463 2237490 2684988 2751284 3356235 3439105 4027482 4126926 4474980 6190389 6712470 6878210 8054964 8253852 10068705 10317315 12380778 13424940 13756420 18571167 20137410 20634630 24761556 30951945 37142334 40274820 41269260 55713501 61903890 74284668 92855835 111427002 123807780 167140503 185711670 222854004 278567505 334281006 371423340 557135010 668562012 835702515 1114270020 1671405030 3342810060