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3414312414 = 2322232393559
BaseRepresentation
bin1100101110000010…
…0100010111011110
322210221122001010100
43023200210113132
523443030444124
61322444321530
7150416114412
oct31340442736
98727561110
103414312414
1114a23214a7
127b35432a6
13425497506
14245654d42
1514eb331c9
hexcb8245de

3414312414 has 48 divisors (see below), whose sum is σ = 7464038400. Its totient is φ = 1127942928.

The previous prime is 3414312389. The next prime is 3414312437. The reversal of 3414312414 is 4142134143.

3414312414 is a `hidden beast` number, since 3 + 414 + 3 + 1 + 241 + 4 = 666.

3414312414 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 957567 + ... + 961125.

It is an arithmetic number, because the mean of its divisors is an integer number (155500800).

Almost surely, 23414312414 is an apocalyptic number.

3414312414 is an abundant number, since it is smaller than the sum of its proper divisors (4049725986).

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

3414312414 is a wasteful number, since it uses less digits than its factorization.

3414312414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4026 counting only the distinct ones).

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

The square root of 3414312414 is about 58432.1180002916. The cubic root of 3414312414 is about 1505.8015934133.

Adding to 3414312414 its reverse (4142134143), we get a palindrome (7556446557).

The spelling of 3414312414 in words is "three billion, four hundred fourteen million, three hundred twelve thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 223 239 446 478 669 717 1338 1434 2007 2151 3559 4014 4302 7118 10677 21354 32031 53297 64062 106594 159891 319782 479673 793657 850601 959346 1587314 1701202 2380971 2551803 4761942 5103606 7142913 7655409 14285826 15310818 189684023 379368046 569052069 1138104138 1707156207 3414312414