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4478340384 = 253272221399
BaseRepresentation
bin1000010101110111…
…00000110100100000
3102120002210021002200
410022323200310200
533132423343014
62020214213200
7215656156650
oct41273406440
912502707080
104478340384
1119989a7461
12a4b954200
13564a61b6b
14306aac360
151b3260a09
hex10aee0d20

4478340384 has 72 divisors (see below), whose sum is σ = 14554612800. Its totient is φ = 1279525248.

The previous prime is 4478340371. The next prime is 4478340401. The reversal of 4478340384 is 4830438744.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1108684 + ... + 1112715.

It is an arithmetic number, because the mean of its divisors is an integer number (202147400).

Almost surely, 24478340384 is an apocalyptic number.

It is an amenable number.

4478340384 is an abundant number, since it is smaller than the sum of its proper divisors (10076272416).

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

4478340384 is a wasteful number, since it uses less digits than its factorization.

4478340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221422 (or 2221411 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The square root of 4478340384 is about 66920.4033460648. The cubic root of 4478340384 is about 1648.3105307629.

The spelling of 4478340384 in words is "four billion, four hundred seventy-eight million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2221399 4442798 6664197 8885596 13328394 15549793 17771192 19992591 26656788 31099586 35542384 39985182 46649379 53313576 62199172 71084768 79970364 93298758 106627152 124398344 139948137 159940728 186597516 213254304 248796688 279896274 319881456 373195032 497593376 559792548 639762912 746390064 1119585096 1492780128 2239170192 4478340384