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2429403444 = 2232135191033
BaseRepresentation
bin1001000011001101…
…1100000100110100
320021022100111000100
42100303130010310
514433411402234
61041022314100
7114126405606
oct22063340464
96238314010
102429403444
111037375846
12579728930
132c9412240
14190915176
15e3433399
hex90cdc134

2429403444 has 36 divisors (see below), whose sum is σ = 6613377316. Its totient is φ = 747508608.

The previous prime is 2429403439. The next prime is 2429403467. The reversal of 2429403444 is 4443049242.

2429403444 is a `hidden beast` number, since 24 + 294 + 0 + 344 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119639844 + 2309763600 = 10938^2 + 48060^2 .

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

It is a super-2 number, since 2×24294034442 = 11804002187438122272, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2429403399 and 2429403408.

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, 2595049 + ... + 2595984.

Almost surely, 22429403444 is an apocalyptic number.

It is an amenable number.

2429403444 is an abundant number, since it is smaller than the sum of its proper divisors (4183973872).

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

2429403444 is a wasteful number, since it uses less digits than its factorization.

2429403444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191056 (or 5191051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2429403444 is about 49288.9789303856. The cubic root of 2429403444 is about 1344.3113981363.

The spelling of 2429403444 in words is "two billion, four hundred twenty-nine million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5191033 10382066 15573099 20764132 31146198 46719297 62292396 67483429 93438594 134966858 186877188 202450287 269933716 404900574 607350861 809801148 1214701722 2429403444