Search a number
-
+
314021040 = 24351308421
BaseRepresentation
bin10010101101111…
…001010010110000
3210212212220212220
4102231321102300
51120342133130
651054321040
710532064144
oct2255712260
9725786786
10314021040
11151290723
12891b9180
1350099988
142d9c3224
151c87d410
hex12b794b0

314021040 has 40 divisors (see below), whose sum is σ = 973465968. Its totient is φ = 83738880.

The previous prime is 314021023. The next prime is 314021051. The reversal of 314021040 is 40120413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653971 + ... + 654450.

Almost surely, 2314021040 is an apocalyptic number.

314021040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314021040 is an abundant number, since it is smaller than the sum of its proper divisors (659444928).

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

314021040 is a wasteful number, since it uses less digits than its factorization.

314021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308437 (or 1308431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 314021040 is about 17720.6388146703. The cubic root of 314021040 is about 679.7036193984.

Adding to 314021040 its reverse (40120413), we get a palindrome (354141453).

The spelling of 314021040 in words is "three hundred fourteen million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1308421 2616842 3925263 5233684 6542105 7850526 10467368 13084210 15701052 19626315 20934736 26168420 31402104 39252630 52336840 62804208 78505260 104673680 157010520 314021040