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463213080 = 233451141317
BaseRepresentation
bin11011100111000…
…001001000011000
31012021121122220000
4123213001020120
51422040304310
6113544133000
714323150311
oct3347011030
91167548800
10463213080
11218520930
1210b167160
1374c74ba5
144573b608
152a9ed4c0
hex1b9c1218

463213080 has 320 divisors, whose sum is σ = 1745362080. Its totient is φ = 109209600.

The previous prime is 463213073. The next prime is 463213081. The reversal of 463213080 is 80312364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463213081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1461082 + ... + 1461398.

Almost surely, 2463213080 is an apocalyptic number.

463213080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463213080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872681040).

463213080 is an abundant number, since it is smaller than the sum of its proper divisors (1282149000).

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

463213080 is a wasteful number, since it uses less digits than its factorization.

463213080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 463213080 is about 21522.3855555094. The cubic root of 463213080 is about 773.7374267085.

The spelling of 463213080 in words is "four hundred sixty-three million, two hundred thirteen thousand, eighty".