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4349716020 = 22325133161983
BaseRepresentation
bin1000000110100001…
…10110011000110100
3102020010202110122100
410003100312120310
532402011403040
61555341302100
7212534655546
oct40320663064
912203673570
104349716020
111932335031
12a14864930
13544208580
142d3989696
151a6d04b30
hex103436634

4349716020 has 288 divisors, whose sum is σ = 14923044864. Its totient is φ = 1018137600.

The previous prime is 4349716013. The next prime is 4349716027. The reversal of 4349716020 is 206179434.

4349716020 is a `hidden beast` number, since 4 + 3 + 49 + 7 + 1 + 602 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4349716013) and next prime (4349716027).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4349716027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4424449 + ... + 4425431.

It is an arithmetic number, because the mean of its divisors is an integer number (51816128).

Almost surely, 24349716020 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 4349716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461522432).

4349716020 is an abundant number, since it is smaller than the sum of its proper divisors (10573328844).

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

4349716020 is a wasteful number, since it uses less digits than its factorization.

4349716020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4349716020 is about 65952.3769094033. The cubic root of 4349716020 is about 1632.3763774724.

The spelling of 4349716020 in words is "four billion, three hundred forty-nine million, seven hundred sixteen thousand, twenty".