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320400048 = 24327124631
BaseRepresentation
bin10011000110001…
…110101010110000
3211022220000020110
4103012032222300
51124010300143
651443141320
710640232633
oct2306165260
9738800213
10320400048
11154948331
128b374840
13514c1337
14307a3c1a
151d1dd533
hex1318eab0

320400048 has 40 divisors (see below), whose sum is σ = 830788096. Its totient is φ = 106401600.

The previous prime is 320400043. The next prime is 320400049. The reversal of 320400048 is 840004023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 320399997 and 320400033.

It is not an unprimeable number, because it can be changed into a prime (320400043) 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 7 ways as a sum of consecutive naturals, for example, 693 + ... + 25323.

Almost surely, 2320400048 is an apocalyptic number.

It is an amenable number.

320400048 is an abundant number, since it is smaller than the sum of its proper divisors (510388048).

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

320400048 is a wasteful number, since it uses less digits than its factorization.

320400048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24913 (or 24907 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 320400048 is about 17899.7220090146. The cubic root of 320400048 is about 684.2752901669.

The spelling of 320400048 in words is "three hundred twenty million, four hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 271 542 813 1084 1626 2168 3252 4336 6504 13008 24631 49262 73893 98524 147786 197048 295572 394096 591144 1182288 6675001 13350002 20025003 26700004 40050006 53400008 80100012 106800016 160200024 320400048