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683436312 = 23331317103139
BaseRepresentation
bin101000101111000…
…110100100011000
31202122000011101000
4220233012210120
52344424430222
6151452225000
722636053456
oct5057064430
91678004330
10683436312
113208668a9
12170a6b160
13ab7900b0
1466aa59d6
153eeee9ac
hex28bc6918

683436312 has 256 divisors, whose sum is σ = 2201472000. Its totient is φ = 194586624.

The previous prime is 683436263. The next prime is 683436349. The reversal of 683436312 is 213634386.

It is a super-2 number, since 2×6834363122 = 934170385120322688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 4916739 + ... + 4916877.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2683436312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683436312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

683436312 is an abundant number, since it is smaller than the sum of its proper divisors (1518035688).

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

683436312 is a wasteful number, since it uses less digits than its factorization.

683436312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 683436312 is about 26142.6148653879. The cubic root of 683436312 is about 880.8447088800.

The spelling of 683436312 in words is "six hundred eighty-three million, four hundred thirty-six thousand, three hundred twelve".