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30456129 = 311172332
BaseRepresentation
bin111010000101…
…1100101000001
32010022022221210
41310023211001
530244044004
63004440333
7516605244
oct164134501
963268853
1030456129
1116212160
12a2490a9
1364047a2
14408b25b
152a19089
hex1d0b941

30456129 has 24 divisors (see below), whose sum is σ = 47107872. Its totient is φ = 17297920.

The previous prime is 30456091. The next prime is 30456137. The reversal of 30456129 is 92165403.

It is a de Polignac number, because none of the positive numbers 2k-30456129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30456096 and 30456105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30456149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130597 + ... + 130829.

It is an arithmetic number, because the mean of its divisors is an integer number (1962828).

Almost surely, 230456129 is an apocalyptic number.

It is an amenable number.

30456129 is a deficient number, since it is larger than the sum of its proper divisors (16651743).

30456129 is a wasteful number, since it uses less digits than its factorization.

30456129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 30456129 is about 5518.7071855644. The cubic root of 30456129 is about 312.2901127163.

It can be divided in two parts, 304561 and 29, that added together give a triangular number (304590 = T780).

The spelling of 30456129 in words is "thirty million, four hundred fifty-six thousand, one hundred twenty-nine".

Divisors: 1 3 11 17 33 51 187 233 561 699 2563 3961 7689 11883 43571 54289 130713 162867 597179 922913 1791537 2768739 10152043 30456129