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3434145561 = 327114955477
BaseRepresentation
bin1100110010110000…
…1110011100011001
322212022221200002100
43030230032130121
524013120124221
61324433354013
7151046520120
oct31454163431
98768850070
103434145561
111502538430
127ba108909
1342961c9c2
14248138ab7
1515174e926
hexccb0e719

3434145561 has 24 divisors (see below), whose sum is σ = 6184436544. Its totient is φ = 1783971360.

The previous prime is 3434145553. The next prime is 3434145599. The reversal of 3434145561 is 1655414343.

3434145561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3434145561 - 23 = 3434145553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3434145551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2477046 + ... + 2478431.

It is an arithmetic number, because the mean of its divisors is an integer number (257684856).

Almost surely, 23434145561 is an apocalyptic number.

It is an amenable number.

3434145561 is a deficient number, since it is larger than the sum of its proper divisors (2750290983).

3434145561 is a wasteful number, since it uses less digits than its factorization.

3434145561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955501 (or 4955498 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3434145561 is about 58601.5832635945. The cubic root of 3434145561 is about 1508.7116125902.

The spelling of 3434145561 in words is "three billion, four hundred thirty-four million, one hundred forty-five thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 4955477 14866431 34688339 44599293 54510247 104065017 163530741 312195051 381571729 490592223 1144715187 3434145561