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10343130984 = 2332143654597
BaseRepresentation
bin10011010000111111…
…11010011101101000
3222200211102111100100
421220133322131220
5132140320142414
64430201105400
7514212106554
oct115037723550
928624374310
1010343130984
11442847843a
122007a88260
13c8ab09c64
14701962864
1540808b609
hex2687fa768

10343130984 has 24 divisors (see below), whose sum is σ = 28012646610. Its totient is φ = 3447710304.

The previous prime is 10343130979. The next prime is 10343130989. The reversal of 10343130984 is 48903134301.

10343130984 is a `hidden beast` number, since 1 + 0 + 343 + 1 + 309 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10343130979) and next prime (10343130989).

It can be written as a sum of positive squares in only one way, i.e., 10288044900 + 55086084 = 101430^2 + 7422^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (10343130989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71827227 + ... + 71827370.

Almost surely, 210343130984 is an apocalyptic number.

It is an amenable number.

10343130984 is an abundant number, since it is smaller than the sum of its proper divisors (17669515626).

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

10343130984 is a wasteful number, since it uses less digits than its factorization.

10343130984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143654609 (or 143654602 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10343130984 in words is "ten billion, three hundred forty-three million, one hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 143654597 287309194 430963791 574618388 861927582 1149236776 1292891373 1723855164 2585782746 3447710328 5171565492 10343130984