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264743640 = 2336571297
BaseRepresentation
bin11111100011110…
…10101011011000
3200110011101000000
433301322223120
51020233244030
642134213000
76363166230
oct1761725330
9613141000
10264743640
111264938a7
12747b4160
1342b05455
1427236cc0
1518397860
hexfc7aad8

264743640 has 224 divisors, whose sum is σ = 1021474080. Its totient is φ = 60466176.

The previous prime is 264743629. The next prime is 264743641. The reversal of 264743640 is 46347462.

264743640 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 4 + 3 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 264743595 and 264743604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264743641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203472 + ... + 204768.

Almost surely, 2264743640 is an apocalyptic number.

264743640 is a gapful number since it is divisible by the number (20) 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 264743640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510737040).

264743640 is an abundant number, since it is smaller than the sum of its proper divisors (756730440).

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

264743640 is a wasteful number, since it uses less digits than its factorization.

264743640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 264743640 is about 16270.9446560426. The cubic root of 264743640 is about 642.1086373935.

The spelling of 264743640 in words is "two hundred sixty-four million, seven hundred forty-three thousand, six hundred forty".