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247466340 = 22365111543
BaseRepresentation
bin11101100000000…
…00100101100100
3122020122121000000
432300000211210
51001322410330
640320021300
76063300132
oct1660004544
9566577000
10247466340
11117763140
126aa61830
133c3663b4
1424c1a752
1516ad3560
hexec00964

247466340 has 168 divisors, whose sum is σ = 850546368. Its totient is φ = 59952960.

The previous prime is 247466339. The next prime is 247466347. The reversal of 247466340 is 43664742.

It is a super-2 number, since 2×2474663402 = 122479178865991200, which contains 22 as substring.

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 = 247466295 and 247466304.

It is not an unprimeable number, because it can be changed into a prime (247466347) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 159609 + ... + 161151.

It is an arithmetic number, because the mean of its divisors is an integer number (5062776).

Almost surely, 2247466340 is an apocalyptic number.

247466340 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 247466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425273184).

247466340 is an abundant number, since it is smaller than the sum of its proper divisors (603080028).

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

247466340 is a wasteful number, since it uses less digits than its factorization.

247466340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1564 counting only the distinct ones).

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

The square root of 247466340 is about 15731.0629011520. The cubic root of 247466340 is about 627.8251538342.

The spelling of 247466340 in words is "two hundred forty-seven million, four hundred sixty-six thousand, three hundred forty".