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314460342 = 2327331253
BaseRepresentation
bin10010101111100…
…100100010110110
3210220201020111100
4102233210202312
51121000212332
651111550530
710535604000
oct2257444266
9726636440
10314460342
11151560789
128938b446
13501c1911
142da99370
151c91867c
hex12be48b6

314460342 has 144 divisors (see below), whose sum is σ = 836503200. Its totient is φ = 85307040.

The previous prime is 314460337. The next prime is 314460361. The reversal of 314460342 is 243064413.

314460342 is a `hidden beast` number, since 3 + 14 + 4 + 603 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5933188 + ... + 5933240.

It is an arithmetic number, because the mean of its divisors is an integer number (5809050).

Almost surely, 2314460342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314460342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418251600).

314460342 is an abundant number, since it is smaller than the sum of its proper divisors (522042858).

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

314460342 is a wasteful number, since it uses less digits than its factorization.

314460342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 314460342 is about 17733.0296903829. The cubic root of 314460342 is about 680.0204304704.

The spelling of 314460342 in words is "three hundred fourteen million, four hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 53 62 63 93 98 106 126 147 159 186 217 279 294 318 343 371 434 441 477 558 651 686 742 882 954 961 1029 1113 1302 1519 1643 1922 1953 2058 2226 2597 2883 3038 3087 3286 3339 3906 4557 4929 5194 5766 6174 6678 6727 7791 8649 9114 9858 10633 11501 13454 13671 14787 15582 17298 18179 20181 21266 23002 23373 27342 29574 31899 34503 36358 40362 46746 47089 50933 54537 60543 63798 69006 80507 94178 95697 101866 103509 109074 121086 141267 152799 161014 163611 191394 207018 241521 282534 305598 327222 329623 356531 423801 458397 483042 563549 659246 713062 724563 847602 916794 988869 1069593 1127098 1449126 1690647 1977738 2139186 2495717 2966607 3208779 3381294 4991434 5071941 5933214 6417558 7487151 10143882 14974302 17470019 22461453 34940038 44922906 52410057 104820114 157230171 314460342