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314014104 = 233312711447
BaseRepresentation
bin10010101101110…
…111100110011000
3210212212120101000
4102231313212120
51120341422404
651054225000
710532035005
oct2255674630
9725776330
10314014104
11151286498
12891b5160
1350096781
142d9c08ac
151c87b339
hex12b77998

314014104 has 64 divisors (see below), whose sum is σ = 879206400. Its totient is φ = 103838112.

The previous prime is 314014093. The next prime is 314014111. The reversal of 314014104 is 401410413.

314014104 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21709 + ... + 33155.

It is an arithmetic number, because the mean of its divisors is an integer number (13737600).

Almost surely, 2314014104 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 314014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439603200).

314014104 is an abundant number, since it is smaller than the sum of its proper divisors (565192296).

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

314014104 is a wasteful number, since it uses less digits than its factorization.

314014104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11589 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314014104 is about 17720.4431095839. The cubic root of 314014104 is about 679.6986150002.

Adding to 314014104 its reverse (401410413), we get a palindrome (715424517).

The spelling of 314014104 in words is "three hundred fourteen million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 11447 13716 22894 27432 34341 45788 68682 91576 103023 137364 206046 274728 309069 412092 618138 824184 1236276 1453769 2472552 2907538 4361307 5815076 8722614 11630152 13083921 17445228 26167842 34890456 39251763 52335684 78503526 104671368 157007052 314014104