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480714234 = 237111380039
BaseRepresentation
bin11100101001110…
…001110111111010
31020111112210221220
4130221301313322
51441030323414
6115411212510
714625001140
oct3451616772
91214483856
10480714234
112273947a0
12114ba7136
1378791ac0
1447bb5590
152c308ca9
hex1ca71dfa

480714234 has 64 divisors (see below), whose sum is σ = 1290885120. Its totient is φ = 115254720.

The previous prime is 480714209. The next prime is 480714239. The reversal of 480714234 is 432417084.

It is a super-3 number, since 3×4807142343 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 480714195 and 480714204.

It is not an unprimeable number, because it can be changed into a prime (480714239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34014 + ... + 46025.

It is an arithmetic number, because the mean of its divisors is an integer number (20170080).

Almost surely, 2480714234 is an apocalyptic number.

480714234 is an abundant number, since it is smaller than the sum of its proper divisors (810170886).

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

480714234 is a wasteful number, since it uses less digits than its factorization.

480714234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80075.

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 480714234 is about 21925.1963275132. The cubic root of 480714234 is about 783.3616873797.

The spelling of 480714234 in words is "four hundred eighty million, seven hundred fourteen thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 80039 160078 240117 480234 560273 880429 1040507 1120546 1680819 1760858 2081014 2641287 3121521 3361638 5282574 6163003 6243042 7283549 11445577 12326006 14567098 18489009 21850647 22891154 34336731 36978018 43701294 68673462 80119039 160238078 240357117 480714234