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384534720 = 26325133519
BaseRepresentation
bin10110111010111…
…000100011000000
3222210120101110200
4112322320203000
51241420102340
6102053525200
712346330323
oct2672704300
9883511420
10384534720
11188072699
12a8943800
136188824b
14390da7ba
1523b5b330
hex16eb88c0

384534720 has 84 divisors (see below), whose sum is σ = 1322649120. Its totient is φ = 102541824.

The previous prime is 384534707. The next prime is 384534721. The reversal of 384534720 is 27435483.

It is a happy number.

384534720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384534721) by changing a digit.

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, 63880 + ... + 69639.

Almost surely, 2384534720 is an apocalyptic number.

384534720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384534720 is an abundant number, since it is smaller than the sum of its proper divisors (938114400).

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

384534720 is a wasteful number, since it uses less digits than its factorization.

384534720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133542 (or 133529 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 384534720 is about 19609.5568537384. The cubic root of 384534720 is about 727.1854593773.

The spelling of 384534720 in words is "three hundred eighty-four million, five hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 133519 267038 400557 534076 667595 801114 1068152 1201671 1335190 1602228 2002785 2136304 2403342 2670380 3204456 4005570 4272608 4806684 5340760 6008355 6408912 8011140 8545216 9613368 10681520 12016710 12817824 16022280 19226736 21363040 24033420 25635648 32044560 38453472 42726080 48066840 64089120 76906944 96133680 128178240 192267360 384534720