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68350464 = 2932713163
BaseRepresentation
bin1000001001011…
…11001000000000
311202121120012200
410010233020000
5114444203324
610440553200
71456653330
oct404571000
9152546180
1068350464
1135644796
121aa82800
1311211a80
1491130c0
156001ec9
hex412f200

68350464 has 240 divisors, whose sum is σ = 244276032. Its totient is φ = 17915904.

The previous prime is 68350459. The next prime is 68350483. The reversal of 68350464 is 46405386.

68350464 = T41 + T42 + ... + T742.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419247 + ... + 419409.

Almost surely, 268350464 is an apocalyptic number.

68350464 is a gapful number since it is divisible by the number (64) 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 68350464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122138016).

68350464 is an abundant number, since it is smaller than the sum of its proper divisors (175925568).

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

68350464 is a wasteful number, since it uses less digits than its factorization.

68350464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 68350464 is about 8267.4339428870. The cubic root of 68350464 is about 408.8655213139.

The spelling of 68350464 in words is "sixty-eight million, three hundred fifty thousand, four hundred sixty-four".