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1093974336 = 2635713773
BaseRepresentation
bin100000100110100…
…1011100101000000
32211020111122200000
41001031023211000
54220024134321
6300315400000
736052425360
oct10115134500
92736448600
101093974336
1151157a124
12266453000
131458510c0
14a54109a0
1566095826
hex4134b940

1093974336 has 336 divisors, whose sum is σ = 4007412864. Its totient is φ = 288147456.

The previous prime is 1093974331. The next prime is 1093974347. The reversal of 1093974336 is 6334793901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1093974291 and 1093974300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1093974331) 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 47 ways as a sum of consecutive naturals, for example, 1414846 + ... + 1415618.

It is an arithmetic number, because the mean of its divisors is an integer number (11926824).

Almost surely, 21093974336 is an apocalyptic number.

1093974336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1093974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003706432).

1093974336 is an abundant number, since it is smaller than the sum of its proper divisors (2913438528).

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

1093974336 is an equidigital number, since it uses as much as digits as its factorization.

1093974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 1093974336 is about 33075.2828559334. The cubic root of 1093974336 is about 1030.3917622440.

The spelling of 1093974336 in words is "one billion, ninety-three million, nine hundred seventy-four thousand, three hundred thirty-six".