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730664064 = 2735132139
BaseRepresentation
bin101011100011010…
…000110010000000
31212220212120200000
4223203100302000
52444022222224
6200300400000
724051353634
oct5343206200
91786776600
10730664064
113454937a9
12184846000
13b84b7700
146d07adc4
154422d0c9
hex2b8d0c80

730664064 has 288 divisors, whose sum is σ = 2378048400. Its totient is φ = 223202304.

The previous prime is 730664059. The next prime is 730664071. The reversal of 730664064 is 460466037.

730664064 is a `hidden beast` number, since 7 + 3 + 0 + 6 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 5256507 + ... + 5256645.

Almost surely, 2730664064 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 730664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189024200).

730664064 is an abundant number, since it is smaller than the sum of its proper divisors (1647384336).

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

730664064 is a wasteful number, since it uses less digits than its factorization.

730664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 730664064 is about 27030.7984343785. The cubic root of 730664064 is about 900.6842796031.

The spelling of 730664064 in words is "seven hundred thirty million, six hundred sixty-four thousand, sixty-four".