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263380464 = 24333171277
BaseRepresentation
bin11111011001011…
…01110111110000
3200100121010002000
433230231313300
51014411133324
642045054000
76345461034
oct1754556760
9610533060
10263380464
11125742706
1274257300
1342748b39
1426da01c4
15181c89c9
hexfb2ddf0

263380464 has 160 divisors (see below), whose sum is σ = 794234880. Its totient is φ = 83462400.

The previous prime is 263380463. The next prime is 263380483. The reversal of 263380464 is 464083362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263380463) 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, 950694 + ... + 950970.

It is an arithmetic number, because the mean of its divisors is an integer number (4963968).

Almost surely, 2263380464 is an apocalyptic number.

263380464 is a gapful number since it is divisible by the number (24) 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 263380464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397117440).

263380464 is an abundant number, since it is smaller than the sum of its proper divisors (530854416).

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

263380464 is a wasteful number, since it uses less digits than its factorization.

263380464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 263380464 is about 16229.0007086080. Note that the first 3 decimals coincide. The cubic root of 263380464 is about 641.0046590605.

The spelling of 263380464 in words is "two hundred sixty-three million, three hundred eighty thousand, four hundred sixty-four".