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1700434944 = 21034131983
BaseRepresentation
bin110010101011010…
…1001010000000000
311101111200001020000
41211112221100000
511440302404234
6440422120000
760065313165
oct14526512000
94344601200
101700434944
117a293aa3a
123b5580000
1321139c530
14121b9a06c
159e43c899
hex655a9400

1700434944 has 440 divisors, whose sum is σ = 5825598240. Its totient is φ = 489701376.

The previous prime is 1700434933. The next prime is 1700434951. The reversal of 1700434944 is 4494340071.

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 = 1700434899 and 1700434908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20487127 + ... + 20487209.

It is an arithmetic number, because the mean of its divisors is an integer number (13239996).

Almost surely, 21700434944 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 1700434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912799120).

1700434944 is an abundant number, since it is smaller than the sum of its proper divisors (4125163296).

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

1700434944 is a wasteful number, since it uses less digits than its factorization.

1700434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1700434944 is about 41236.3303895970. The cubic root of 1700434944 is about 1193.5849672390.

The spelling of 1700434944 in words is "one billion, seven hundred million, four hundred thirty-four thousand, nine hundred forty-four".