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3534424320 = 28357131489
BaseRepresentation
bin1101001010101011…
…0000100100000000
3100010022122100200110
43102222300210000
524214303034240
61342414551320
7153405053040
oct32252604400
910108570613
103534424320
1115540aa339
12827808540
1344433034b
1425759d720
1515a45bc80
hexd2ab0900

3534424320 has 144 divisors (see below), whose sum is σ = 12900746880. Its totient is φ = 807862272.

The previous prime is 3534424319. The next prime is 3534424339. The reversal of 3534424320 is 234244353.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38865 + ... + 92624.

It is an arithmetic number, because the mean of its divisors is an integer number (89588520).

Almost surely, 23534424320 is an apocalyptic number.

3534424320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3534424320 is an abundant number, since it is smaller than the sum of its proper divisors (9366322560).

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

3534424320 is a wasteful number, since it uses less digits than its factorization.

3534424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131520 (or 131506 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

The square root of 3534424320 is about 59451.0245496240. The cubic root of 3534424320 is about 1523.2559935752.

Adding to 3534424320 its reverse (234244353), we get a palindrome (3768668673).

The spelling of 3534424320 in words is "three billion, five hundred thirty-four million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 131489 262978 394467 525956 657445 788934 920423 1051912 1314890 1577868 1840846 1972335 2103824 2629780 2761269 3155736 3681692 3944670 4207648 4602115 5259560 5522538 6311472 7363384 7889340 8415296 9204230 10519120 11045076 12622944 13806345 14726768 15778680 16830592 18408460 21038240 22090152 25245888 27612690 29453536 31557360 33661184 36816920 42076480 44180304 50491776 55225380 58907072 63114720 73633840 84152960 88360608 100983552 110450760 117814144 126229440 147267680 168305920 176721216 220901520 235628288 252458880 294535360 353442432 441803040 504917760 589070720 706884864 883606080 1178141440 1767212160 3534424320