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1424320320 = 26354136187
BaseRepresentation
bin101010011100101…
…0110011101000000
310200021002222011110
41110321112131000
510404111222240
6353200043320
750203344243
oct12471263500
93607088143
101424320320
11670a9aa35
12339003540
131991154b7
14d724325a
158509ac80
hex54e56740

1424320320 has 112 divisors (see below), whose sum is σ = 4632643008. Its totient is φ = 370544640.

The previous prime is 1424320307. The next prime is 1424320349. The reversal of 1424320320 is 230234241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21267 + ... + 57453.

It is an arithmetic number, because the mean of its divisors is an integer number (41362884).

Almost surely, 21424320320 is an apocalyptic number.

1424320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316321504).

1424320320 is an abundant number, since it is smaller than the sum of its proper divisors (3208322688).

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

1424320320 is a wasteful number, since it uses less digits than its factorization.

1424320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36248 (or 36238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1424320320 is about 37740.1685210864. The cubic root of 1424320320 is about 1125.1296166706.

Adding to 1424320320 its reverse (230234241), we get a palindrome (1654554561).

The spelling of 1424320320 in words is "one billion, four hundred twenty-four million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 36187 39360 72374 108561 144748 180935 217122 289496 361870 434244 542805 578992 723740 868488 1085610 1157984 1447480 1483667 1736976 2171220 2315968 2894960 2967334 3473952 4342440 4451001 5789920 5934668 6947904 7418335 8684880 8902002 11579840 11869336 14836670 17369760 17804004 22255005 23738672 29673340 34739520 35608008 44510010 47477344 59346680 71216016 89020020 94954688 118693360 142432032 178040040 237386720 284864064 356080080 474773440 712160160 1424320320