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314893908 = 2232731173233
BaseRepresentation
bin10010110001001…
…110011001010100
3210221112021020100
4102301032121110
51121103101113
651125134100
710542361020
oct2261163124
9727467210
10314893908
111518274aa
128955a330
1350314074
142db6d380
151c9a1d73
hex12c4e654

314893908 has 144 divisors (see below), whose sum is σ = 948519936. Its totient is φ = 86192640.

The previous prime is 314893889. The next prime is 314893927. The reversal of 314893908 is 809398413.

314893908 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (314893889) and next prime (314893927).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1351360 + ... + 1351592.

It is an arithmetic number, because the mean of its divisors is an integer number (6586944).

Almost surely, 2314893908 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 314893908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474259968).

314893908 is an abundant number, since it is smaller than the sum of its proper divisors (633626028).

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

314893908 is a wasteful number, since it uses less digits than its factorization.

314893908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 314893908 is about 17745.2502940928. The cubic root of 314893908 is about 680.3328157438.

The spelling of 314893908 in words is "three hundred fourteen million, eight hundred ninety-three thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 173 186 217 233 252 279 346 372 434 466 519 558 651 692 699 868 932 1038 1116 1211 1302 1398 1557 1631 1953 2076 2097 2422 2604 2796 3114 3262 3633 3906 4194 4844 4893 5363 6228 6524 7223 7266 7812 8388 9786 10726 10899 14446 14532 14679 16089 19572 21452 21669 21798 28892 29358 32178 37541 40309 43338 43596 48267 50561 58716 64356 65007 75082 80618 86676 96534 101122 112623 120927 130014 150164 151683 161236 193068 202244 225246 241854 260028 282163 303366 337869 362781 450492 455049 483708 564326 606732 675738 725562 846489 910098 1128652 1249579 1351476 1451124 1692978 1820196 2499158 2539467 3385956 3748737 4998316 5078934 7497474 8747053 10157868 11246211 14994948 17494106 22492422 26241159 34988212 44984844 52482318 78723477 104964636 157446954 314893908