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4285344384 = 273229128273
BaseRepresentation
bin1111111101101101…
…0010101010000000
3102001122122001100200
43333123102222000
532234022010014
61545121445200
7211123553256
oct37733225200
912048561320
104285344384
1118a9a68732
129b71a0800
13533a8a849
142c91d05d6
151a133ba09
hexff6d2a80

4285344384 has 96 divisors (see below), whose sum is σ = 12756849300. Its totient is φ = 1379180544.

The previous prime is 4285344361. The next prime is 4285344391. The reversal of 4285344384 is 4834435824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3902750784 + 382593600 = 62472^2 + 19560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30729 + ... + 97544.

Almost surely, 24285344384 is an apocalyptic number.

It is an amenable number.

4285344384 is an abundant number, since it is smaller than the sum of its proper divisors (8471504916).

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

4285344384 is a wasteful number, since it uses less digits than its factorization.

4285344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128322 (or 128307 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 4285344384 is about 65462.5418388257. The cubic root of 4285344384 is about 1624.2837880792.

The spelling of 4285344384 in words is "four billion, two hundred eighty-five million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 128273 256546 384819 513092 769638 1026184 1154457 1539276 2052368 2308914 3078552 3719917 4104736 4617828 6157104 7439834 8209472 9235656 11159751 12314208 14879668 16418944 18471312 22319502 24628416 29759336 33479253 36942624 44639004 49256832 59518672 66958506 73885248 89278008 119037344 133917012 147770496 178556016 238074688 267834024 357112032 476149376 535668048 714224064 1071336096 1428448128 2142672192 4285344384