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314203648 = 2911471187
BaseRepresentation
bin10010101110100…
…101111000000000
3210220020012101011
4102232211320000
51120414004043
651102250304
710533454423
oct2256457000
9726205334
10314203648
111513a5940
1289286994
1350131b25
142da2d9ba
151c8b759d
hex12ba5e00

314203648 has 80 divisors (see below), whose sum is σ = 700026624. Its totient is φ = 139663360.

The previous prime is 314203597. The next prime is 314203649. The reversal of 314203648 is 846302413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314203649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264111 + ... + 265297.

Almost surely, 2314203648 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 314203648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350013312).

314203648 is an abundant number, since it is smaller than the sum of its proper divisors (385822976).

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

314203648 is a wasteful number, since it uses less digits than its factorization.

314203648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 314203648 is about 17725.7904760267. The cubic root of 314203648 is about 679.8353465243.

The spelling of 314203648 in words is "three hundred fourteen million, two hundred three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1034 1187 1408 1504 2068 2374 2816 3008 4136 4748 5632 6016 8272 9496 12032 13057 16544 18992 24064 26114 33088 37984 52228 55789 66176 75968 104456 111578 132352 151936 208912 223156 264704 303872 417824 446312 607744 613679 835648 892624 1227358 1671296 1785248 2454716 3342592 3570496 4909432 6685184 7140992 9818864 14281984 19637728 28563968 39275456 78550912 157101824 314203648