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10343230848 = 27351731631
BaseRepresentation
bin10011010001000000…
…10010110110000000
3222200211121120100000
421220200102312000
5132140331341343
64430203200000
7514213003656
oct115040226600
928624546300
1010343230848
114428536475
122007b16000
13c8ab43552
1470198add6
154080aaed3
hex268812d80

10343230848 has 384 divisors, whose sum is σ = 33789450240. Its totient is φ = 3135283200.

The previous prime is 10343230819. The next prime is 10343230871. The reversal of 10343230848 is 84803234301.

It is a happy number.

10343230848 is a `hidden beast` number, since 1 + 0 + 343 + 2 + 308 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16391493 + ... + 16392123.

It is an arithmetic number, because the mean of its divisors is an integer number (87993360).

Almost surely, 210343230848 is an apocalyptic number.

10343230848 is a gapful number since it is divisible by the number (18) 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 10343230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894725120).

10343230848 is an abundant number, since it is smaller than the sum of its proper divisors (23446219392).

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

10343230848 is an equidigital number, since it uses as much as digits as its factorization.

10343230848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10343230848 in words is "ten billion, three hundred forty-three million, two hundred thirty thousand, eight hundred forty-eight".