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247234640 = 2453179749
BaseRepresentation
bin11101011110010…
…00000001010000
3122020012211011112
432233020001100
51001243002030
640311032452
76061313462
oct1657100120
9566184145
10247234640
11117615054
126a96b728
133c2b4ab3
1424b9a132
1516a89a95
hexebc8050

247234640 has 40 divisors (see below), whose sum is σ = 576693000. Its totient is φ = 98571776.

The previous prime is 247234619. The next prime is 247234693. The reversal of 247234640 is 46432742.

It can be written as a sum of positive squares in 4 ways, for example, as 5494336 + 241740304 = 2344^2 + 15548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2472346402 = 122249934431859200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247234597 and 247234606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20486 + ... + 30234.

It is an arithmetic number, because the mean of its divisors is an integer number (14417325).

Almost surely, 2247234640 is an apocalyptic number.

247234640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247234640 is an abundant number, since it is smaller than the sum of its proper divisors (329458360).

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

247234640 is a wasteful number, since it uses less digits than its factorization.

247234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079 (or 10073 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 247234640 is about 15723.6967663460. The cubic root of 247234640 is about 627.6291507313.

The spelling of 247234640 in words is "two hundred forty-seven million, two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 317 634 1268 1585 2536 3170 5072 6340 9749 12680 19498 25360 38996 48745 77992 97490 155984 194980 389960 779920 3090433 6180866 12361732 15452165 24723464 30904330 49446928 61808660 123617320 247234640