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3420254520 = 2332542122567
BaseRepresentation
bin1100101111011100…
…1111000100111000
322211100210221011100
43023313033010320
524001041121040
61323215531400
7150520453344
oct31367170470
98740727140
103420254520
1114a570a931
127b5529b60
13426798057
14246360624
15150408b30
hexcbdcf138

3420254520 has 96 divisors (see below), whose sum is σ = 11142724320. Its totient is φ = 909861120.

The previous prime is 3420254501. The next prime is 3420254557. The reversal of 3420254520 is 254520243.

It is a happy number.

3420254520 is a `hidden beast` number, since 3 + 4 + 202 + 5 + 452 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140277 + ... + 162843.

It is an arithmetic number, because the mean of its divisors is an integer number (116070045).

Almost surely, 23420254520 is an apocalyptic number.

3420254520 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 3420254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571362160).

3420254520 is an abundant number, since it is smaller than the sum of its proper divisors (7722469800).

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

3420254520 is a wasteful number, since it uses less digits than its factorization.

3420254520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23005 (or 22998 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3420254520 is about 58482.9421284531. The cubic root of 3420254520 is about 1506.6746288334.

Adding to 3420254520 its reverse (254520243), we get a palindrome (3674774763).

The spelling of 3420254520 in words is "three billion, four hundred twenty million, two hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 421 842 1263 1684 2105 2526 3368 3789 4210 5052 6315 7578 8420 10104 12630 15156 16840 18945 22567 25260 30312 37890 45134 50520 67701 75780 90268 112835 135402 151560 180536 203103 225670 270804 338505 406206 451340 541608 677010 812412 902680 1015515 1354020 1624824 2031030 2708040 4062060 8124120 9500707 19001414 28502121 38002828 47503535 57004242 76005656 85506363 95007070 114008484 142510605 171012726 190014140 228016968 285021210 342025452 380028280 427531815 570042420 684050904 855063630 1140084840 1710127260 3420254520