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314041424 = 24195917509
BaseRepresentation
bin10010101101111…
…110010001010000
3210212220221211212
4102231332101100
51120343311144
651054555252
710532210444
oct2255762120
9725827755
10314041424
111512a4a74
1289208b28
13500a6038
142d9ca824
151c88449e
hex12b7e450

314041424 has 40 divisors (see below), whose sum is σ = 651372000. Its totient is φ = 146226816.

The previous prime is 314041423. The next prime is 314041433. The reversal of 314041424 is 424140413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314041424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314041423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9182 + ... + 26690.

It is an arithmetic number, because the mean of its divisors is an integer number (16284300).

Almost surely, 2314041424 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 314041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325686000).

314041424 is an abundant number, since it is smaller than the sum of its proper divisors (337330576).

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

314041424 is a wasteful number, since it uses less digits than its factorization.

314041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17595 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 314041424 is about 17721.2139539028. The cubic root of 314041424 is about 679.7183262461.

Adding to 314041424 its reverse (424140413), we get a palindrome (738181837).

The spelling of 314041424 in words is "three hundred fourteen million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1121 2242 4484 8968 17509 17936 35018 70036 140072 280144 332671 665342 1033031 1330684 2066062 2661368 4132124 5322736 8264248 16528496 19627589 39255178 78510356 157020712 314041424