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1934959104 = 2934133797
BaseRepresentation
bin111001101010101…
…0010001000000000
311222211222002220000
41303111102020000
512430322142404
6520000520000
765643611121
oct16325221000
94884862800
101934959104
11903263461
12460020000
1324ab53b20
14144da8048
15b4d16339
hex73552200

1934959104 has 400 divisors, whose sum is σ = 6453550488. Its totient is φ = 573308928.

The previous prime is 1934959099. The next prime is 1934959109. The reversal of 1934959104 is 4019594391.

1934959104 is a `hidden beast` number, since 19 + 3 + 49 + 591 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1934959099) and next prime (1934959109).

It can be written as a sum of positive squares in 4 ways, for example, as 1660725504 + 274233600 = 40752^2 + 16560^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1934959104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1934959109) 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 39 ways as a sum of consecutive naturals, for example, 19947984 + ... + 19948080.

Almost surely, 21934959104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1934959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226775244).

1934959104 is an abundant number, since it is smaller than the sum of its proper divisors (4518591384).

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

1934959104 is an equidigital number, since it uses as much as digits as its factorization.

1934959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1934959104 is about 43988.1700460476. The cubic root of 1934959104 is about 1246.1125314571.

The spelling of 1934959104 in words is "one billion, nine hundred thirty-four million, nine hundred fifty-nine thousand, one hundred four".