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3342213240 = 2335194731189
BaseRepresentation
bin1100011100110110…
…0010000001111000
322121220222000122120
43013031202001320
523321101310430
61311351121240
7145552225632
oct30715420170
98556860576
103342213240
111465657303
12793373220
13413572392
14239c47a52
15148640610
hexc7362078

3342213240 has 128 divisors (see below), whose sum is σ = 10779264000. Its totient is φ = 826357248.

The previous prime is 3342213211. The next prime is 3342213247. The reversal of 3342213240 is 423122433.

It is a super-2 number, since 2×33422132402 = 22340778683262595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3342213240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342213247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91566 + ... + 122754.

It is an arithmetic number, because the mean of its divisors is an integer number (84213000).

Almost surely, 23342213240 is an apocalyptic number.

3342213240 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 3342213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389632000).

3342213240 is an abundant number, since it is smaller than the sum of its proper divisors (7437050760).

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

3342213240 is a wasteful number, since it uses less digits than its factorization.

3342213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3342213240 is about 57811.8780182758. The cubic root of 3342213240 is about 1495.1268878852.

Adding to 3342213240 its reverse (423122433), we get a palindrome (3765335673).

The spelling of 3342213240 in words is "three billion, three hundred forty-two million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 7144 8930 10716 13395 17860 21432 26790 31189 35720 53580 62378 93567 107160 124756 155945 187134 249512 311890 374268 467835 592591 623780 748536 935670 1185182 1247560 1465883 1777773 1871340 2370364 2931766 2962955 3555546 3742680 4397649 4740728 5863532 5925910 7111092 7329415 8795298 8888865 11727064 11851820 14222184 14658830 17590596 17777730 21988245 23703640 27851777 29317660 35181192 35555460 43976490 55703554 58635320 71110920 83555331 87952980 111407108 139258885 167110662 175905960 222814216 278517770 334221324 417776655 557035540 668442648 835553310 1114071080 1671106620 3342213240