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314440048 = 241321031129
BaseRepresentation
bin10010101111011…
…111100101110000
3210220200012122201
4102233133211300
51120444040143
651111312544
710535460556
oct2257374560
9726605581
10314440048
1115154750a
128937b754
13501b5600
142da91bd6
151c91264d
hex12bdf970

314440048 has 60 divisors (see below), whose sum is σ = 666690960. Its totient is φ = 143589888.

The previous prime is 314440031. The next prime is 314440067. The reversal of 314440048 is 840044413.

It is a junction number, because it is equal to n+sod(n) for n = 314439998 and 314440025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277948 + ... + 279076.

It is an arithmetic number, because the mean of its divisors is an integer number (11111516).

Almost surely, 2314440048 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 314440048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333345480).

314440048 is an abundant number, since it is smaller than the sum of its proper divisors (352250912).

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

314440048 is a wasteful number, since it uses less digits than its factorization.

314440048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 314440048 is about 17732.4574721046. The cubic root of 314440048 is about 680.0058015653.

The spelling of 314440048 in words is "three hundred fourteen million, four hundred forty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 103 104 169 206 208 338 412 676 824 1129 1339 1352 1648 2258 2678 2704 4516 5356 9032 10712 14677 17407 18064 21424 29354 34814 58708 69628 116287 117416 139256 190801 232574 234832 278512 381602 465148 763204 930296 1511731 1526408 1860592 3023462 3052816 6046924 12093848 19652503 24187696 39305006 78610012 157220024 314440048