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3142408416 = 25372668029
BaseRepresentation
bin1011101101001101…
…0101100011100000
322002222222212221220
42323103111203200
522413424032131
61235452415040
7140605013400
oct27323254340
98088885856
103142408416
111372897a54
12738477480
133b1055b84
1421b4b6800
15135d23e96
hexbb4d58e0

3142408416 has 72 divisors (see below), whose sum is σ = 9595582920. Its totient is φ = 897829632.

The previous prime is 3142408397. The next prime is 3142408417. The reversal of 3142408416 is 6148042413.

3142408416 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 not an unprimeable number, because it can be changed into a prime (3142408417) 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, 329311 + ... + 338718.

It is an arithmetic number, because the mean of its divisors is an integer number (133271985).

Almost surely, 23142408416 is an apocalyptic number.

It is an amenable number.

3142408416 is an abundant number, since it is smaller than the sum of its proper divisors (6453174504).

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

3142408416 is a wasteful number, since it uses less digits than its factorization.

3142408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668056 (or 668041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3142408416 is about 56057.1887985832. The cubic root of 3142408416 is about 1464.7186444587.

The spelling of 3142408416 in words is "three billion, one hundred forty-two million, four hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 668029 1336058 2004087 2672116 4008174 4676203 5344232 8016348 9352406 10688464 14028609 16032696 18704812 21376928 28057218 32065392 32733421 37409624 56114436 64130784 65466842 74819248 98200263 112228872 130933684 149638496 196400526 224457744 261867368 392801052 448915488 523734736 785602104 1047469472 1571204208 3142408416