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1283350068 = 2235711131319
BaseRepresentation
bin100110001111110…
…0101111000110100
310022102211221100000
41030133211320310
510112014200233
6331202351300
743542203250
oct11437457064
93272757300
101283350068
115a94659a0
122b995b530
13175b58650
14c2629260
1577a01d13
hex4c7e5e34

1283350068 has 288 divisors, whose sum is σ = 4520355840. Its totient is φ = 307463040.

The previous prime is 1283349973. The next prime is 1283350073. The reversal of 1283350068 is 8600533821.

1283350068 is a `hidden beast` number, since 12 + 83 + 3 + 500 + 68 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972313 + ... + 973631.

It is an arithmetic number, because the mean of its divisors is an integer number (15695680).

Almost surely, 21283350068 is an apocalyptic number.

1283350068 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 1283350068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260177920).

1283350068 is an abundant number, since it is smaller than the sum of its proper divisors (3237005772).

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

1283350068 is a wasteful number, since it uses less digits than its factorization.

1283350068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1283350068 is about 35823.8756697262. The cubic root of 1283350068 is about 1086.7134593289.

Adding to 1283350068 its reverse (8600533821), we get a palindrome (9883883889).

The spelling of 1283350068 in words is "one billion, two hundred eighty-three million, three hundred fifty thousand, sixty-eight".