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17234612240 = 2451712672509
BaseRepresentation
bin10000000011010000…
…110101000000010000
31122111002222000101212
4100003100311000100
5240244030042430
611530101315252
71150042533626
oct200320650020
948432860355
1017234612240
11734454229a
12340ba05b28
1318187a8b11
14b96d11516
156ad0bbb95
hex403435010

17234612240 has 40 divisors (see below), whose sum is σ = 42427563480. Its totient is φ = 6488324096.

The previous prime is 17234612233. The next prime is 17234612243. The reversal of 17234612240 is 4221643271.

It can be written as a sum of positive squares in 4 ways, for example, as 4466516224 + 12768096016 = 66832^2 + 112996^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 17234612197 and 17234612206.

It is not an unprimeable number, because it can be changed into a prime (17234612243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6334895 + ... + 6337614.

It is an arithmetic number, because the mean of its divisors is an integer number (1060689087).

Almost surely, 217234612240 is an apocalyptic number.

17234612240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17234612240 is an abundant number, since it is smaller than the sum of its proper divisors (25192951240).

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

17234612240 is a wasteful number, since it uses less digits than its factorization.

17234612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672539 (or 12672533 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 17234612240 in words is "seventeen billion, two hundred thirty-four million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 12672509 25345018 50690036 63362545 101380072 126725090 202760144 215432653 253450180 430865306 506900360 861730612 1013800720 1077163265 1723461224 2154326530 3446922448 4308653060 8617306120 17234612240