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314355384 = 2333734243
BaseRepresentation
bin10010101111001…
…010111010111000
3210220111220112000
4102233022322320
51120433333014
651105421000
710534656000
oct2257127270
9726456460
10314355384
11151499942
128933a760
1350185c05
142da6d000
151c8e7509
hex12bcaeb8

314355384 has 128 divisors (see below), whose sum is σ = 1018560000. Its totient is φ = 89794656.

The previous prime is 314355341. The next prime is 314355397. The reversal of 314355384 is 483553413.

314355384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71967 + ... + 76209.

It is an arithmetic number, because the mean of its divisors is an integer number (7957500).

Almost surely, 2314355384 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 314355384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509280000).

314355384 is an abundant number, since it is smaller than the sum of its proper divisors (704204616).

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

314355384 is a wasteful number, since it uses less digits than its factorization.

314355384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4255 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 314355384 is about 17730.0700506230. The cubic root of 314355384 is about 679.9447648330.

The spelling of 314355384 in words is "three hundred fourteen million, three hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1764 2058 2646 2744 3087 3528 4116 4243 5292 6174 8232 8486 9261 10584 12348 12729 16972 18522 24696 25458 29701 33944 37044 38187 50916 59402 74088 76374 89103 101832 114561 118804 152748 178206 207907 229122 237608 267309 305496 356412 415814 458244 534618 623721 712824 801927 831628 916488 1069236 1247442 1455349 1603854 1663256 1871163 2138472 2494884 2910698 3207708 3742326 4366047 4989768 5613489 5821396 6415416 7484652 8732094 11226978 11642792 13098141 14969304 17464188 22453956 26196282 34928376 39294423 44907912 52392564 78588846 104785128 157177692 314355384