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1734104064 = 21037117331
BaseRepresentation
bin110011101011100…
…0101010000000000
311110212000121120110
41213113011100000
512022412312224
6444023511320
760654432660
oct14727052000
94425017513
101734104064
1180a947060
124048b8540
1321835a5a4
141264421a0
15a238d929
hex675c5400

1734104064 has 176 divisors, whose sum is σ = 5763303936. Its totient is φ = 450355200.

The previous prime is 1734104059. The next prime is 1734104081. The reversal of 1734104064 is 4604014371.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232879 + ... + 240209.

Almost surely, 21734104064 is an apocalyptic number.

1734104064 is a gapful number since it is divisible by the number (14) 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 1734104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881651968).

1734104064 is an abundant number, since it is smaller than the sum of its proper divisors (4029199872).

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

1734104064 is a wasteful number, since it uses less digits than its factorization.

1734104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1734104064 is about 41642.5751365114. The cubic root of 1734104064 is about 1201.4113172800.

The spelling of 1734104064 in words is "one billion, seven hundred thirty-four million, one hundred four thousand, sixty-four".