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3414213144 = 233247419627
BaseRepresentation
bin1100101110000000…
…1100001000011000
322210221102222221200
43023200030020120
523443014310034
61322442234200
7150415222116
oct31340141030
98727388850
103414213144
1114a2263961
127b34b5960
13425461284
1424562aab6
1514eb13a99
hexcb80c218

3414213144 has 24 divisors (see below), whose sum is σ = 9246827460. Its totient is φ = 1138071024.

The previous prime is 3414213119. The next prime is 3414213149. The reversal of 3414213144 is 4413124143.

3414213144 is a `hidden beast` number, since 341 + 4 + 2 + 1 + 314 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414213149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23709742 + ... + 23709885.

Almost surely, 23414213144 is an apocalyptic number.

It is an amenable number.

3414213144 is an abundant number, since it is smaller than the sum of its proper divisors (5832614316).

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

3414213144 is a wasteful number, since it uses less digits than its factorization.

3414213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47419639 (or 47419632 counting only the distinct ones).

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

The square root of 3414213144 is about 58431.2685469005. The cubic root of 3414213144 is about 1505.7869997113.

Adding to 3414213144 its reverse (4413124143), we get a palindrome (7827337287).

The spelling of 3414213144 in words is "three billion, four hundred fourteen million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 47419627 94839254 142258881 189678508 284517762 379357016 426776643 569035524 853553286 1138071048 1707106572 3414213144