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4305266640 = 243454315451
BaseRepresentation
bin1000000001001110…
…10010011111010000
3102010001010012120000
410000213102133100
532304122013030
61551112450000
7211455106533
oct40047223720
912101105500
104305266640
11190a235604
12a019a9900
13537c4476c
142cbad8a1a
151a2e74860
hex1009d27d0

4305266640 has 200 divisors, whose sum is σ = 15301559328. Its totient is φ = 1121299200.

The previous prime is 4305266617. The next prime is 4305266653. The reversal of 4305266640 is 466625034.

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

It is a junction number, because it is equal to n+sod(n) for n = 4305266595 and 4305266604.

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 39 ways as a sum of consecutive naturals, for example, 270915 + ... + 286365.

Almost surely, 24305266640 is an apocalyptic number.

4305266640 is a gapful number since it is divisible by the number (40) 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 4305266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7650779664).

4305266640 is an abundant number, since it is smaller than the sum of its proper divisors (10996292688).

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

4305266640 is a wasteful number, since it uses less digits than its factorization.

4305266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15519 (or 15504 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4305266640 is about 65614.5307077632. The cubic root of 4305266640 is about 1626.7969568517.

The spelling of 4305266640 in words is "four billion, three hundred five million, two hundred sixty-six thousand, six hundred forty".