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320424048 = 243271272503
BaseRepresentation
bin10011000110010…
…100100001110000
3211022221020011100
4103012110201300
51124012032143
651443444400
710640362620
oct2306244160
9738836140
10320424048
1115496436a
128b386700
13514cc239
14307ac880
151d1e56d3
hex13194870

320424048 has 120 divisors (see below), whose sum is σ = 1033330688. Its totient is φ = 90792576.

The previous prime is 320424031. The next prime is 320424127. The reversal of 320424048 is 840424023.

It is a happy number.

320424048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 126765 + ... + 129267.

Almost surely, 2320424048 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 320424048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516665344).

320424048 is an abundant number, since it is smaller than the sum of its proper divisors (712906640).

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

320424048 is a wasteful number, since it uses less digits than its factorization.

320424048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 320424048 is about 17900.3923979336. The cubic root of 320424048 is about 684.2923752631.

The spelling of 320424048 in words is "three hundred twenty million, four hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 127 144 168 252 254 336 381 504 508 762 889 1008 1016 1143 1524 1778 2032 2286 2503 2667 3048 3556 4572 5006 5334 6096 7112 7509 8001 9144 10012 10668 14224 15018 16002 17521 18288 20024 21336 22527 30036 32004 35042 40048 42672 45054 52563 60072 64008 70084 90108 105126 120144 128016 140168 157689 180216 210252 280336 315378 317881 360432 420504 630756 635762 841008 953643 1261512 1271524 1907286 2225167 2523024 2543048 2860929 3814572 4450334 5086096 5721858 6675501 7629144 8900668 11443716 13351002 15258288 17801336 20026503 22887432 26702004 35602672 40053006 45774864 53404008 80106012 106808016 160212024 320424048