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68340000 = 253541767
BaseRepresentation
bin1000001001011…
…00100100100000
311202121000212010
410010230210200
5114443340000
610440432520
71456610661
oct404544440
9152530763
1068340000
1135637943
121aa78740
131120a091
14910d368
155eedd50
hex412c920

68340000 has 240 divisors, whose sum is σ = 240897888. Its totient is φ = 16896000.

The previous prime is 68339993. The next prime is 68340047. The reversal of 68340000 is 4386.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1019967 + ... + 1020033.

Almost surely, 268340000 is an apocalyptic number.

68340000 is a gapful number since it is divisible by the number (60) 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 68340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120448944).

68340000 is an abundant number, since it is smaller than the sum of its proper divisors (172557888).

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

68340000 is a wasteful number, since it uses less digits than its factorization.

68340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 68340000 is about 8266.8010741762. The cubic root of 68340000 is about 408.8446553879.

Adding to 68340000 its reverse (4386), we get a palindrome (68344386).

The spelling of 68340000 in words is "sixty-eight million, three hundred forty thousand".