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4346378064 = 2432731367379
BaseRepresentation
bin1000000110001000…
…00111011101010000
3102012220110212211100
410003010013131100
532400133044224
61555141544400
7212464414110
oct40304073520
912186425740
104346378064
111930465196
12a13715100
1354360a152
142d335b040
151a6895ac9
hex103107750

4346378064 has 240 divisors, whose sum is σ = 14427013120. Its totient is φ = 1195326720.

The previous prime is 4346378059. The next prime is 4346378077. The reversal of 4346378064 is 4608736434.

4346378064 is a `hidden beast` number, since 4 + 3 + 4 + 637 + 8 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11467827 + ... + 11468205.

Almost surely, 24346378064 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 4346378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213506560).

4346378064 is an abundant number, since it is smaller than the sum of its proper divisors (10080635056).

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

4346378064 is a wasteful number, since it uses less digits than its factorization.

4346378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4346378064 is about 65927.0662474829. The cubic root of 4346378064 is about 1631.9587107489.

The spelling of 4346378064 in words is "four billion, three hundred forty-six million, three hundred seventy-eight thousand, sixty-four".