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3414324144 = 243711923789
BaseRepresentation
bin1100101110000010…
…0111001110110000
322210221122122012210
43023200213032300
523443031333034
61322444452120
7150416163540
oct31340471660
98727578183
103414324144
1114a232a2a0
127b354a040
1342549c95a
14245659320
1514eb368e9
hexcb8273b0

3414324144 has 80 divisors (see below), whose sum is σ = 10996796160. Its totient is φ = 886836480.

The previous prime is 3414324131. The next prime is 3414324163. The reversal of 3414324144 is 4414234143.

It is a nude number because it is divisible by every one of its digits.

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, 458199 + ... + 465590.

It is an arithmetic number, because the mean of its divisors is an integer number (137459952).

Almost surely, 23414324144 is an apocalyptic number.

It is an amenable number.

3414324144 is an abundant number, since it is smaller than the sum of its proper divisors (7582472016).

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

3414324144 is a wasteful number, since it uses less digits than its factorization.

3414324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923818 (or 923812 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 3414324144 is about 58432.2183730859. The cubic root of 3414324144 is about 1505.8033178242.

Adding to 3414324144 its reverse (4414234143), we get a palindrome (7828558287).

Subtracting 3414324144 from its reverse (4414234143), we obtain a palindrome (999909999).

The spelling of 3414324144 in words is "three billion, four hundred fourteen million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 923789 1847578 2771367 3695156 5542734 6466523 7390312 10161679 11085468 12933046 14780624 19399569 20323358 22170936 25866092 30485037 38799138 40646716 44341872 51732184 60970074 71131753 77598276 81293432 103464368 121940148 142263506 155196552 162586864 213395259 243880296 284527012 310393104 426790518 487760592 569054024 853581036 1138108048 1707162072 3414324144