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314345424 = 24319794363
BaseRepresentation
bin10010101111001…
…000011111010000
3210220111101212010
4102233020133100
51120433023144
651105302520
710534614651
oct2257103720
9726441763
10314345424
11151492408
1289334a40
1350181513
142da69528
151c8e45b9
hex12bc87d0

314345424 has 80 divisors (see below), whose sum is σ = 865817600. Its totient is φ = 97987968.

The previous prime is 314345411. The next prime is 314345429. The reversal of 314345424 is 424543413.

It is a junction number, because it is equal to n+sod(n) for n = 314345391 and 314345400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314345429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69867 + ... + 74229.

It is an arithmetic number, because the mean of its divisors is an integer number (10822720).

Almost surely, 2314345424 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 314345424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432908800).

314345424 is an abundant number, since it is smaller than the sum of its proper divisors (551472176).

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

314345424 is a wasteful number, since it uses less digits than its factorization.

314345424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4466 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 314345424 is about 17729.7891696433. The cubic root of 314345424 is about 679.9375836598.

Adding to 314345424 its reverse (424543413), we get a palindrome (738888837).

The spelling of 314345424 in words is "three hundred fourteen million, three hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 3002 3792 4363 4503 6004 8726 9006 12008 13089 17452 18012 24016 26178 34904 36024 52356 69808 72048 82897 104712 165794 209424 248691 331588 344677 497382 663176 689354 994764 1034031 1326352 1378708 1989528 2068062 2757416 3979056 4136124 5514832 6548863 8272248 13097726 16544496 19646589 26195452 39293178 52390904 78586356 104781808 157172712 314345424