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834294912 = 27311263751
BaseRepresentation
bin110001101110100…
…101010010000000
32011010212120110120
4301232211102000
53202034414122
6214441500240
726450250453
oct6156452200
92133776416
10834294912
11398a35130
121b34a1680
13103acca39
147cb3549a
154d39d75c
hex31ba5480

834294912 has 128 divisors (see below), whose sum is σ = 2429982720. Its totient is φ = 251520000.

The previous prime is 834294899. The next prime is 834294917. The reversal of 834294912 is 219492438.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (834294917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110537 + ... + 1111287.

It is an arithmetic number, because the mean of its divisors is an integer number (18984240).

Almost surely, 2834294912 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 834294912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214991360).

834294912 is an abundant number, since it is smaller than the sum of its proper divisors (1595687808).

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

834294912 is a wasteful number, since it uses less digits than its factorization.

834294912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 834294912 is about 28884.1636887759. The cubic root of 834294912 is about 941.3978418200.

The spelling of 834294912 in words is "eight hundred thirty-four million, two hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 263 264 352 384 526 528 704 751 789 1052 1056 1408 1502 1578 2104 2112 2253 2893 3004 3156 4208 4224 4506 5786 6008 6312 8261 8416 8679 9012 11572 12016 12624 16522 16832 17358 18024 23144 24032 24783 25248 33044 33664 34716 36048 46288 48064 49566 50496 66088 69432 72096 92576 96128 99132 100992 132176 138864 144192 185152 197513 198264 264352 277728 288384 370304 395026 396528 528704 555456 592539 790052 793056 1057408 1110912 1185078 1580104 1586112 2172643 2370156 3160208 3172224 4345286 4740312 6320416 6517929 8690572 9480624 12640832 13035858 17381144 18961248 25281664 26071716 34762288 37922496 52143432 69524576 75844992 104286864 139049152 208573728 278098304 417147456 834294912