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1304286312 = 233731931269
BaseRepresentation
bin100110110111101…
…1101010001101000
310100220020121110110
41031233131101220
510132344130222
6333231214320
744215152000
oct11557352150
93326217413
101304286312
1160a26567a
123049773a0
1317a2a8c64
14c5319000
157978a30c
hex4dbdd468

1304286312 has 256 divisors, whose sum is σ = 4147200000. Its totient is φ = 340381440.

The previous prime is 1304286307. The next prime is 1304286329. The reversal of 1304286312 is 2136824031.

It is a super-2 number, since 2×13042863122 = 3402325567341122688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1304286312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4848514 + ... + 4848782.

It is an arithmetic number, because the mean of its divisors is an integer number (16200000).

Almost surely, 21304286312 is an apocalyptic number.

1304286312 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 1304286312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600000).

1304286312 is an abundant number, since it is smaller than the sum of its proper divisors (2842913688).

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

1304286312 is a wasteful number, since it uses less digits than its factorization.

1304286312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1304286312 is about 36114.9042917187. The cubic root of 1304286312 is about 1092.5910672603.

The spelling of 1304286312 in words is "one billion, three hundred four million, two hundred eighty-six thousand, three hundred twelve".