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2340135936 = 21032318191
BaseRepresentation
bin1000101101111011…
…1010010000000000
320001002101020000100
42023132322100000
514243033322221
61024113122400
7111663553515
oct21336722000
96032336010
102340135936
11aa0a44846
12553859400
132b3a88828
14182b1930c
15da69d926
hex8b7ba400

2340135936 has 132 divisors (see below), whose sum is σ = 6975913984. Its totient is φ = 754790400.

The previous prime is 2340135911. The next prime is 2340135997. The reversal of 2340135936 is 6395310432.

It is a happy number.

2340135936 is a `hidden beast` number, since 23 + 40 + 1 + 3 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2340135936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281601 + ... + 289791.

Almost surely, 22340135936 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 2340135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487956992).

2340135936 is an abundant number, since it is smaller than the sum of its proper divisors (4635778048).

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

2340135936 is a wasteful number, since it uses less digits than its factorization.

2340135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8227 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2340135936 is about 48374.9515348594. The cubic root of 2340135936 is about 1327.6401018253.

The spelling of 2340135936 in words is "two billion, three hundred forty million, one hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8191 8928 9216 11904 15872 16382 17856 23808 24573 31744 32764 35712 47616 49146 65528 71424 73719 95232 98292 131056 142848 147438 196584 253921 262112 285696 294876 393168 507842 524224 589752 761763 786336 1015684 1048448 1179504 1523526 1572672 2031368 2096896 2285289 2359008 3047052 3145344 4062736 4193792 4570578 4718016 6094104 6290688 8125472 8387584 9141156 9436032 12188208 12581376 16250944 18282312 18872064 24376416 25162752 32501888 36564624 37744128 48752832 65003776 73129248 75488256 97505664 130007552 146258496 195011328 260015104 292516992 390022656 585033984 780045312 1170067968 2340135936