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1340762112 = 2113324247
BaseRepresentation
bin100111111101010…
…0110100000000000
310110102212202212000
41033322212200000
510221213341422
6341013104000
745140201304
oct11772464000
93412782760
101340762112
11628909468
12315028000
13184a0a681
14ca0d1d04
157ca92cac
hex4fea6800

1340762112 has 96 divisors (see below), whose sum is σ = 3971822400. Its totient is φ = 446902272.

The previous prime is 1340762099. The next prime is 1340762117. The reversal of 1340762112 is 2112670431.

1340762112 is a `hidden beast` number, since 1 + 34 + 0 + 7 + 621 + 1 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1340762117) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43173 + ... + 67419.

It is an arithmetic number, because the mean of its divisors is an integer number (41373150).

Almost surely, 21340762112 is an apocalyptic number.

1340762112 is a gapful number since it is divisible by the number (12) 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 1340762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985911200).

1340762112 is an abundant number, since it is smaller than the sum of its proper divisors (2631060288).

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

1340762112 is an equidigital number, since it uses as much as digits as its factorization.

1340762112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24278 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1340762112 is about 36616.4186124203. The cubic root of 1340762112 is about 1102.6827389260.

The spelling of 1340762112 in words is "one billion, three hundred forty million, seven hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 24247 27648 48494 55296 72741 96988 145482 193976 218223 290964 387952 436446 581928 654669 775904 872892 1163856 1309338 1551808 1745784 2327712 2618676 3103616 3491568 4655424 5237352 6207232 6983136 9310848 10474704 12414464 13966272 18621696 20949408 24828928 27932544 37243392 41898816 49657856 55865088 74486784 83797632 111730176 148973568 167595264 223460352 335190528 446920704 670381056 1340762112