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314041340 = 225171496199
BaseRepresentation
bin10010101101111…
…110001111111100
3210212220221201202
4102231332033330
51120343310330
651054555032
710532210264
oct2255761774
9725827652
10314041340
111512a49a8
1289208a78
13500a5ca2
142d9ca7a4
151c884445
hex12b7e3fc

314041340 has 48 divisors (see below), whose sum is σ = 703080000. Its totient is φ = 117414912.

The previous prime is 314041339. The next prime is 314041363. The reversal of 314041340 is 43140413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47561 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (14647500).

Almost surely, 2314041340 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 314041340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351540000).

314041340 is an abundant number, since it is smaller than the sum of its proper divisors (389038660).

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

314041340 is a wasteful number, since it uses less digits than its factorization.

314041340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314041340 is about 17721.2115838619. The cubic root of 314041340 is about 679.7182656422.

Adding to 314041340 its reverse (43140413), we get a palindrome (357181753).

The spelling of 314041340 in words is "three hundred fourteen million, forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 6199 10132 12398 12665 24796 25330 30995 50660 61990 105383 123980 210766 421532 526915 923651 1053830 1847302 2107660 3694604 4618255 9236510 15702067 18473020 31404134 62808268 78510335 157020670 314041340