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3458134242 = 233193449739
BaseRepresentation
bin1100111000011110…
…1111000011100010
322221000002102101000
43032013233003202
524040240243432
61331051452430
7151460441013
oct31607570342
98830072330
103458134242
111515032492
12806157116
1343159b7a4
1424b3c100a
151538dc57c
hexce1ef0e2

3458134242 has 64 divisors (see below), whose sum is σ = 7752240000. Its totient is φ = 1142636544.

The previous prime is 3458134223. The next prime is 3458134243. The reversal of 3458134242 is 2424318543.

3458134242 is a `hidden beast` number, since 3 + 4 + 581 + 34 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3458134197 and 3458134206.

It is not an unprimeable number, because it can be changed into a prime (3458134243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4679109 + ... + 4679847.

It is an arithmetic number, because the mean of its divisors is an integer number (121128750).

Almost surely, 23458134242 is an apocalyptic number.

3458134242 is an abundant number, since it is smaller than the sum of its proper divisors (4294105758).

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

3458134242 is a wasteful number, since it uses less digits than its factorization.

3458134242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 3458134242 is about 58805.9031220506. The cubic root of 3458134242 is about 1512.2164199535.

The spelling of 3458134242 in words is "three billion, four hundred fifty-eight million, one hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 193 386 449 579 739 898 1158 1347 1478 1737 2217 2694 3474 4041 4434 5211 6651 8082 10422 12123 13302 19953 24246 39906 86657 142627 173314 259971 285254 331811 427881 519942 663622 779913 855762 995433 1283643 1559826 1990866 2339739 2567286 2986299 3850929 4679478 5972598 7701858 8958897 17917794 64039523 128079046 192118569 384237138 576355707 1152711414 1729067121 3458134242