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4312896336 = 2432719239791
BaseRepresentation
bin1000000010001000…
…11001001101010000
3102010120110211112100
410001010121031100
532313100140321
61551544200400
7211610004540
oct40104311520
912116424470
104312896336
111913576941
12a04469100
135396b6488
142ccb23320
151a3980326
hex101119350

4312896336 has 240 divisors, whose sum is σ = 15153315840. Its totient is φ = 1116529920.

The previous prime is 4312896331. The next prime is 4312896383. The reversal of 4312896336 is 6336982134.

4312896336 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 8 + 9 + 633 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4312896291 and 4312896300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312896331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435601 + ... + 445391.

It is an arithmetic number, because the mean of its divisors is an integer number (63138816).

Almost surely, 24312896336 is an apocalyptic number.

4312896336 is a gapful number since it is divisible by the number (46) 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 4312896336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576657920).

4312896336 is an abundant number, since it is smaller than the sum of its proper divisors (10840419504).

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

4312896336 is a wasteful number, since it uses less digits than its factorization.

4312896336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9854 (or 9845 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 4312896336 is about 65672.6452642194. The cubic root of 4312896336 is about 1627.7573806314.

The spelling of 4312896336 in words is "four billion, three hundred twelve million, eight hundred ninety-six thousand, three hundred thirty-six".