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1034334020 = 22568697529
BaseRepresentation
bin111101101001101…
…010111101000100
32200002021121112102
4331221222331010
54104242142040
6250345211232
734426460036
oct7551527504
92602247472
101034334020
11490944505
1224a490b18
1313639ba85
149b527c56
1560c14515
hex3da6af44

1034334020 has 24 divisors (see below), whose sum is σ = 2172706200. Its totient is φ = 413618432.

The previous prime is 1034334017. The next prime is 1034334023. The reversal of 1034334020 is 204334301.

It is an interprime number because it is at equal distance from previous prime (1034334017) and next prime (1034334023).

It can be written as a sum of positive squares in 4 ways, for example, as 9821956 + 1024512064 = 3134^2 + 32008^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1034333983 and 1034334001.

It is not an unprimeable number, because it can be changed into a prime (1034334023) 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 7 ways as a sum of consecutive naturals, for example, 133616 + ... + 141144.

It is an arithmetic number, because the mean of its divisors is an integer number (90529425).

Almost surely, 21034334020 is an apocalyptic number.

1034334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034334020 is an abundant number, since it is smaller than the sum of its proper divisors (1138372180).

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

1034334020 is a wasteful number, since it uses less digits than its factorization.

1034334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14407 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1034334020 is about 32161.0637261892. The cubic root of 1034334020 is about 1011.3161353844.

Adding to 1034334020 its reverse (204334301), we get a palindrome (1238668321).

The spelling of 1034334020 in words is "one billion, thirty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 6869 7529 13738 15058 27476 30116 34345 37645 68690 75290 137380 150580 51716701 103433402 206866804 258583505 517167010 1034334020