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2326406016 = 27311250069
BaseRepresentation
bin1000101010101010…
…0010001110000000
320000010112200002210
42022222202032000
514231024443031
61022502542120
7111436060554
oct21252421600
96003480083
102326406016
11a94217300
1254b137940
132b0c8c30c
14180d83864
15d938a746
hex8aaa2380

2326406016 has 96 divisors (see below), whose sum is σ = 6792496200. Its totient is φ = 704957440.

The previous prime is 2326406011. The next prime is 2326406029. The reversal of 2326406016 is 6106046232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×23264060163 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2326406011) 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 11 ways as a sum of consecutive naturals, for example, 21430 + ... + 71498.

Almost surely, 22326406016 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 2326406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396248100).

2326406016 is an abundant number, since it is smaller than the sum of its proper divisors (4466090184).

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

2326406016 is a wasteful number, since it uses less digits than its factorization.

2326406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50108 (or 50085 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2326406016 is about 48232.8313081453. The cubic root of 2326406016 is about 1325.0385209639.

The spelling of 2326406016 in words is "two billion, three hundred twenty-six million, four hundred six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 50069 100138 150207 200276 300414 400552 550759 600828 801104 1101518 1201656 1602208 1652277 2203036 2403312 3204416 3304554 4406072 4806624 6058349 6408832 6609108 8812144 9613248 12116698 13218216 17624288 18175047 19226496 24233396 26436432 35248576 36350094 48466792 52872864 70497152 72700188 96933584 105745728 145400376 193867168 211491456 290800752 387734336 581601504 775468672 1163203008 2326406016