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314915008 = 26672712
BaseRepresentation
bin10010110001010…
…011100011000000
3210221120100011211
4102301103203000
51121104240013
651125415504
710542506362
oct2261234300
9727510154
10314915008
11151841341
128956a594
1350320855
142db76d32
151c9a823d
hex12c538c0

314915008 has 42 divisors (see below), whose sum is σ = 636585468. Its totient is φ = 154535040.

The previous prime is 314914997. The next prime is 314915009. The reversal of 314915008 is 800519413.

It is not an unprimeable number, because it can be changed into a prime (314915009) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1161913 + ... + 1162183.

Almost surely, 2314915008 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 314915008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318292734).

314915008 is an abundant number, since it is smaller than the sum of its proper divisors (321670460).

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

314915008 is an frugal number, since it uses more digits than its factorization.

314915008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 314915008 is about 17745.8448094195. The cubic root of 314915008 is about 680.3480110222.

The spelling of 314915008 in words is "three hundred fourteen million, nine hundred fifteen thousand, eight".

Divisors: 1 2 4 8 16 32 64 67 134 268 271 536 542 1072 1084 2144 2168 4288 4336 8672 17344 18157 36314 72628 73441 145256 146882 290512 293764 581024 587528 1162048 1175056 2350112 4700224 4920547 9841094 19682188 39364376 78728752 157457504 314915008