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3458064384 = 21332173189
BaseRepresentation
bin1100111000011101…
…1110000000000000
322220222221212112200
43032013132000000
524040231030014
61331050153200
7151460030235
oct31607360000
98828855480
103458064384
111514a94a55
12806122800
13431575a58
1424b3a378c
151538c6a09
hexce1de000

3458064384 has 336 divisors, whose sum is σ = 11040831360. Its totient is φ = 1038090240.

The previous prime is 3458064383. The next prime is 3458064419. The reversal of 3458064384 is 4834608543.

3458064384 is a `hidden beast` number, since 3 + 4 + 580 + 64 + 3 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458064383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38854612 + ... + 38854700.

Almost surely, 23458064384 is an apocalyptic number.

3458064384 is a gapful number since it is divisible by the number (34) 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 3458064384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520415680).

3458064384 is an abundant number, since it is smaller than the sum of its proper divisors (7582766976).

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

3458064384 is a wasteful number, since it uses less digits than its factorization.

3458064384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3458064384 is about 58805.3091480693. The cubic root of 3458064384 is about 1512.2062370901.

The spelling of 3458064384 in words is "three billion, four hundred fifty-eight million, sixty-four thousand, three hundred eighty-four".