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1429006356 = 223242179413
BaseRepresentation
bin101010100101100…
…1110100000010100
310200120221001012100
41111023032200110
510411311200411
6353444322100
750261232201
oct12513164024
93616831170
101429006356
11673700698
1233a6a3330
1319a0963bb
14d7b02ca8
15856c4456
hex552ce814

1429006356 has 36 divisors (see below), whose sum is σ = 3613450932. Its totient is φ = 476171904.

The previous prime is 1429006343. The next prime is 1429006387. The reversal of 1429006356 is 6536009241.

It is a happy number.

1429006356 is a `hidden beast` number, since 14 + 2 + 9 + 0 + 0 + 635 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1377597456 + 51408900 = 37116^2 + 7170^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1429006356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147106 + ... + 156518.

It is an arithmetic number, because the mean of its divisors is an integer number (100373637).

Almost surely, 21429006356 is an apocalyptic number.

It is an amenable number.

1429006356 is an abundant number, since it is smaller than the sum of its proper divisors (2184444576).

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

1429006356 is a wasteful number, since it uses less digits than its factorization.

1429006356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13640 (or 13635 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1429006356 is about 37802.2004121453. The cubic root of 1429006356 is about 1126.3621639353.

The spelling of 1429006356 in words is "one billion, four hundred twenty-nine million, six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 4217 8434 9413 12651 16868 18826 25302 28239 37652 37953 50604 56478 75906 84717 112956 151812 169434 338868 39694621 79389242 119083863 158778484 238167726 357251589 476335452 714503178 1429006356