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1308134016 = 27337232351
BaseRepresentation
bin100110111111000…
…1000101010000000
310101011111002112000
41031332020222000
510134340242031
6333445504000
744262645540
oct11576105200
93334432460
101308134016
116114534a2
12306112000
1317b0253c7
14c5a3b320
1579c9a3e6
hex4df88a80

1308134016 has 256 divisors, whose sum is σ = 4606156800. Its totient is φ = 357350400.

The previous prime is 1308133999. The next prime is 1308134029. The reversal of 1308134016 is 6104318031.

1308134016 is a `hidden beast` number, since 1 + 308 + 1 + 340 + 16 = 666.

It is a super-2 number, since 2×13081340162 = 3422429207632576512, which contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 555241 + ... + 557591.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 21308134016 is an apocalyptic number.

1308134016 is a gapful number since it is divisible by the number (16) 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 1308134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1308134016 is an abundant number, since it is smaller than the sum of its proper divisors (3298022784).

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

1308134016 is a wasteful number, since it uses less digits than its factorization.

1308134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1308134016 is about 36168.1353680280. The cubic root of 1308134016 is about 1093.6644102777.

The spelling of 1308134016 in words is "one billion, three hundred eight million, one hundred thirty-four thousand, sixteen".