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1029608244 = 223274085747
BaseRepresentation
bin111101010111101…
…001001100110100
32122202101111222200
4331113221030310
54102034430434
6250100024500
734341345210
oct7527511464
92582344880
101029608244
11489206a05
12248992130
13135405a62
149aa57940
15605ce199
hex3d5e9334

1029608244 has 36 divisors (see below), whose sum is σ = 2974424544. Its totient is φ = 294173712.

The previous prime is 1029608243. The next prime is 1029608267. The reversal of 1029608244 is 4428069201.

1029608244 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 608 + 2 + 44 = 666.

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

It is a super-2 number, since 2×10296082442 = 2120186272225527072, which contains 22 as substring.

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 = 1029608199 and 1029608208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029608243) 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 11 ways as a sum of consecutive naturals, for example, 2042622 + ... + 2043125.

It is an arithmetic number, because the mean of its divisors is an integer number (82622904).

Almost surely, 21029608244 is an apocalyptic number.

1029608244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1029608244 is an abundant number, since it is smaller than the sum of its proper divisors (1944816300).

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

1029608244 is a wasteful number, since it uses less digits than its factorization.

1029608244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085764 (or 4085759 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1029608244 is about 32087.5091585495. The cubic root of 1029608244 is about 1009.7735805890.

The spelling of 1029608244 in words is "one billion, twenty-nine million, six hundred eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4085747 8171494 12257241 16342988 24514482 28600229 36771723 49028964 57200458 73543446 85800687 114400916 147086892 171601374 257402061 343202748 514804122 1029608244