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642348384 = 2536691129
BaseRepresentation
bin100110010010010…
…111010101100000
31122202200200022220
4212102113111200
52303420122014
6143423431040
721626604546
oct4622272540
91582620286
10642348384
112aa652937
1215b155480
13a3105302
146144bd96
153b5d56a9
hex26497560

642348384 has 24 divisors (see below), whose sum is σ = 1686164760. Its totient is φ = 214116096.

The previous prime is 642348367. The next prime is 642348391. The reversal of 642348384 is 483843246.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×6423483842 = 825222892854822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3345469 + ... + 3345660.

It is an arithmetic number, because the mean of its divisors is an integer number (70256865).

Almost surely, 2642348384 is an apocalyptic number.

It is an amenable number.

642348384 is an abundant number, since it is smaller than the sum of its proper divisors (1043816376).

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

642348384 is a wasteful number, since it uses less digits than its factorization.

642348384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691142 (or 6691134 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 642348384 is about 25344.5927960976. The cubic root of 642348384 is about 862.8266393990.

The spelling of 642348384 in words is "six hundred forty-two million, three hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6691129 13382258 20073387 26764516 40146774 53529032 80293548 107058064 160587096 214116128 321174192 642348384