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3342044240 = 2453710331093
BaseRepresentation
bin1100011100110011…
…1000110001010000
322121220122102211022
43013030320301100
523321030403430
61311343335012
7145550623133
oct30714706120
98556572738
103342044240
111465551337
127932b1468
13413513492
14239c0221a
1514860a4e5
hexc7338c50

3342044240 has 80 divisors (see below), whose sum is σ = 7995293328. Its totient is φ = 1298239488.

The previous prime is 3342044227. The next prime is 3342044261. The reversal of 3342044240 is 424402433.

It can be written as a sum of positive squares in 8 ways, for example, as 1679688256 + 1662355984 = 40984^2 + 40772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33420442402 = 22338519404234355200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3057134 + ... + 3058226.

Almost surely, 23342044240 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 3342044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997646664).

3342044240 is an abundant number, since it is smaller than the sum of its proper divisors (4653249088).

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

3342044240 is a wasteful number, since it uses less digits than its factorization.

3342044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 3342044240 is about 57810.4163624515. The cubic root of 3342044240 is about 1495.1016869495.

Adding to 3342044240 its reverse (424402433), we get a palindrome (3766446673).

The spelling of 3342044240 in words is "three billion, three hundred forty-two million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1033 1093 1480 2066 2186 2960 4132 4372 5165 5465 8264 8744 10330 10930 16528 17488 20660 21860 38221 40441 41320 43720 76442 80882 82640 87440 152884 161764 191105 202205 305768 323528 382210 404410 611536 647056 764420 808820 1129069 1528840 1617640 2258138 3057680 3235280 4516276 5645345 9032552 11290690 18065104 22581380 41775553 45162760 83551106 90325520 167102212 208877765 334204424 417755530 668408848 835511060 1671022120 3342044240