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480740312 = 231331149113
BaseRepresentation
bin11100101001111…
…000001111011000
31020111121010201202
4130221320033120
51441032142222
6115411533332
714625140153
oct3451701730
91214533652
10480740312
11227402348
12114bba248
13787a0930
1447bc0c9a
152c311892
hex1ca783d8

480740312 has 32 divisors (see below), whose sum is σ = 1002046080. Its totient is φ = 214721280.

The previous prime is 480740311. The next prime is 480740333. The reversal of 480740312 is 213047084.

It is a super-3 number, since 3×4807403123 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480740311) 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, 71333 + ... + 77780.

It is an arithmetic number, because the mean of its divisors is an integer number (31313940).

Almost surely, 2480740312 is an apocalyptic number.

It is an amenable number.

480740312 is an abundant number, since it is smaller than the sum of its proper divisors (521305768).

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

480740312 is a wasteful number, since it uses less digits than its factorization.

480740312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149163 (or 149159 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 480740312 is about 21925.7910233588. The cubic root of 480740312 is about 783.3758525082.

Adding to 480740312 its reverse (213047084), we get a palindrome (693787396).

The spelling of 480740312 in words is "four hundred eighty million, seven hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 3224 149113 298226 596452 1192904 1938469 3876938 4622503 7753876 9245006 15507752 18490012 36980024 60092539 120185078 240370156 480740312