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3844494720 = 2732511471291
BaseRepresentation
bin1110010100100110…
…0101010110000000
3100220221002120022100
43211021211112000
530333142312340
61433252510400
7164161444263
oct34511452600
910827076270
103844494720
1116a3131870
128b361b400
13493645a61
14286834cda
151777a9830
hexe5265580

3844494720 has 384 divisors, whose sum is σ = 14801978880. Its totient is φ = 911462400.

The previous prime is 3844494697. The next prime is 3844494739. The reversal of 3844494720 is 274944483.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2977275 + ... + 2978565.

It is an arithmetic number, because the mean of its divisors is an integer number (38546820).

Almost surely, 23844494720 is an apocalyptic number.

3844494720 is a gapful number since it is divisible by the number (30) 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 3844494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7400989440).

3844494720 is an abundant number, since it is smaller than the sum of its proper divisors (10957484160).

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

3844494720 is a wasteful number, since it uses less digits than its factorization.

3844494720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3844494720 is about 62003.9895490605. The cubic root of 3844494720 is about 1566.5577985815.

The spelling of 3844494720 in words is "three billion, eight hundred forty-four million, four hundred ninety-four thousand, seven hundred twenty".