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3342120840 = 233259283669
BaseRepresentation
bin1100011100110100…
…1011011110001000
322121220210022220100
43013031023132020
523321040331330
61311345125400
7145551362352
oct30715133610
98556708810
103342120840
1114655a3943
12793329860
1341353c2c6
14239c220d2
15148623060
hexc734b788

3342120840 has 48 divisors (see below), whose sum is σ = 10861893900. Its totient is φ = 891232128.

The previous prime is 3342120839. The next prime is 3342120841. The reversal of 3342120840 is 480212433.

3342120840 is a `hidden beast` number, since 33 + 421 + 208 + 4 + 0 = 666.

3342120840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3342120839) and next prime (3342120841).

It can be written as a sum of positive squares in 2 ways, for example, as 2808788004 + 533332836 = 52998^2 + 23094^2 .

It is a super-2 number, since 2×33421208402 = 22339543418324611200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342120841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4641475 + ... + 4642194.

Almost surely, 23342120840 is an apocalyptic number.

3342120840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3342120840 is an abundant number, since it is smaller than the sum of its proper divisors (7519773060).

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

3342120840 is a wasteful number, since it uses less digits than its factorization.

3342120840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283686 (or 9283679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3342120840 is about 57811.0788690196. The cubic root of 3342120840 is about 1495.1131094907.

The spelling of 3342120840 in words is "three billion, three hundred forty-two million, one hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9283669 18567338 27851007 37134676 46418345 55702014 74269352 83553021 92836690 111404028 139255035 167106042 185673380 222808056 278510070 334212084 371346760 417765105 557020140 668424168 835530210 1114040280 1671060420 3342120840