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4329730944 = 2732721119367
BaseRepresentation
bin1000000100001001…
…00111001110000000
3102011202011010021100
410002010213032000
532331402342234
61553345054400
7212203051200
oct40204471600
912152133240
104329730944
111922024a40
12a0a027400
1354002bb96
142d1066400
151a51a8399
hex102127380

4329730944 has 576 divisors, whose sum is σ = 16688505600. Its totient is φ = 1062512640.

The previous prime is 4329730921. The next prime is 4329730967. The reversal of 4329730944 is 4490379234.

It is an interprime number because it is at equal distance from previous prime (4329730921) and next prime (4329730967).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×43297309442 = 37493140094862262272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4329730944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11797449 + ... + 11797815.

It is an arithmetic number, because the mean of its divisors is an integer number (28973100).

Almost surely, 24329730944 is an apocalyptic number.

4329730944 is a gapful number since it is divisible by the number (44) 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 4329730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344252800).

4329730944 is an abundant number, since it is smaller than the sum of its proper divisors (12358774656).

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

4329730944 is a wasteful number, since it uses less digits than its factorization.

4329730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4329730944 is about 65800.6910602009. The cubic root of 4329730944 is about 1629.8725161566.

The spelling of 4329730944 in words is "four billion, three hundred twenty-nine million, seven hundred thirty thousand, nine hundred forty-four".