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4323027456 = 29331128429
BaseRepresentation
bin1000000011010110…
…00010101000000000
3102011021112112211000
410001223002220000
532323143334311
61552545252000
7212062061406
oct40153025000
912137475730
104323027456
111919266570
12a07934000
1353b822917
142d01dd476
151a47d2056
hex101ac2a00

4323027456 has 160 divisors (see below), whose sum is σ = 13960267200. Its totient is φ = 1309962240.

The previous prime is 4323027451. The next prime is 4323027473. The reversal of 4323027456 is 6547203234.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4323027456.

It is not an unprimeable number, because it can be changed into a prime (4323027451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137850 + ... + 166278.

It is an arithmetic number, because the mean of its divisors is an integer number (87251670).

Almost surely, 24323027456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4323027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980133600).

4323027456 is an abundant number, since it is smaller than the sum of its proper divisors (9637239744).

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

4323027456 is a wasteful number, since it uses less digits than its factorization.

4323027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467 (or 28445 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4323027456 is about 65749.7335051633. The cubic root of 4323027456 is about 1629.0309338909.

The spelling of 4323027456 in words is "four billion, three hundred twenty-three million, twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 9504 12672 13824 16896 19008 25344 28429 38016 50688 56858 76032 85287 113716 152064 170574 227432 255861 312719 341148 454864 511722 625438 682296 767583 909728 938157 1023444 1250876 1364592 1535166 1819456 1876314 2046888 2501752 2729184 2814471 3070332 3638912 3752628 4093776 5003504 5458368 5628942 6140664 7277824 7505256 8187552 8443413 10007008 10916736 11257884 12281328 14555648 15010512 16375104 16886826 20014016 21833472 22515768 24562656 30021024 32750208 33773652 40028032 43666944 45031536 49125312 60042048 65500416 67547304 80056064 90063072 98250624 120084096 131000832 135094608 160112128 180126144 196501248 240168192 270189216 360252288 393002496 480336384 540378432 720504576 1080756864 1441009152 2161513728 4323027456