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3414144312 = 233276162311
BaseRepresentation
bin1100101101111111…
…1011010100111000
322210221022111112100
43023133323110320
523443010104222
61322440543400
7150414514335
oct31337732470
98727274470
103414144312
1114a2217177
127b3481b60
13425438b47
1424560d98c
1514eaed4ac
hexcb7fb538

3414144312 has 48 divisors (see below), whose sum is σ = 9258940080. Its totient is φ = 1136534400.

The previous prime is 3414144299. The next prime is 3414144313. The reversal of 3414144312 is 2134414143.

3414144312 is a `hidden beast` number, since 341 + 4 + 1 + 4 + 4 + 312 = 666.

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 (3414144313) 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, 23637 + ... + 85947.

It is an arithmetic number, because the mean of its divisors is an integer number (192894585).

Almost surely, 23414144312 is an apocalyptic number.

It is an amenable number.

3414144312 is an abundant number, since it is smaller than the sum of its proper divisors (5844795768).

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

3414144312 is a wasteful number, since it uses less digits than its factorization.

3414144312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63084 (or 63077 counting only the distinct ones).

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

The square root of 3414144312 is about 58430.6795442257. The cubic root of 3414144312 is about 1505.7768805396.

Adding to 3414144312 its reverse (2134414143), we get a palindrome (5548558455).

The spelling of 3414144312 in words is "three billion, four hundred fourteen million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 761 1522 2283 3044 4566 6088 6849 9132 13698 18264 27396 54792 62311 124622 186933 249244 373866 498488 560799 747732 1121598 1495464 2243196 4486392 47418671 94837342 142256013 189674684 284512026 379349368 426768039 569024052 853536078 1138048104 1707072156 3414144312