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3129305742 = 232181960499
BaseRepresentation
bin1011101010000101…
…0110101010001110
322002002100012110200
42322201112222032
522402100240432
61234303514330
7140355442233
oct27241265216
98062305420
103129305742
1113664587a2
12733bb89a6
133ab419004
1421986578a
15134ad6a7c
hexba856a8e

3129305742 has 24 divisors (see below), whose sum is σ = 6817629000. Its totient is φ = 1037337840.

The previous prime is 3129305741. The next prime is 3129305761. The reversal of 3129305742 is 2475039213.

3129305742 is a `hidden beast` number, since 31 + 29 + 30 + 574 + 2 = 666.

3129305742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3129305697 and 3129305706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3129305741) 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, 476992 + ... + 483507.

It is an arithmetic number, because the mean of its divisors is an integer number (284067875).

Almost surely, 23129305742 is an apocalyptic number.

3129305742 is an abundant number, since it is smaller than the sum of its proper divisors (3688323258).

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

3129305742 is a wasteful number, since it uses less digits than its factorization.

3129305742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960688 (or 960685 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3129305742 is about 55940.1979081233. The cubic root of 3129305742 is about 1462.6800311358.

The spelling of 3129305742 in words is "three billion, one hundred twenty-nine million, three hundred five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 181 362 543 1086 1629 3258 960499 1920998 2881497 5762994 8644491 17288982 173850319 347700638 521550957 1043101914 1564652871 3129305742