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68234328 = 233217107521
BaseRepresentation
bin1000001000100…
…10110001011000
311202101122220100
410010102301120
5114431444303
610434255400
71455660621
oct404226130
9152348810
1068234328
1135575508
121aa27560
13111a0c56
1490c2a48
155ecc8a3
hex4112c58

68234328 has 96 divisors (see below), whose sum is σ = 197879760. Its totient is φ = 21166080.

The previous prime is 68234323. The next prime is 68234329. The reversal of 68234328 is 82343286.

It is a super-2 number, since 2×682343282 = 9311847035223168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 68234292 and 68234301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68234321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130708 + ... + 131228.

Almost surely, 268234328 is an apocalyptic number.

68234328 is a gapful number since it is divisible by the number (68) 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 68234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98939880).

68234328 is an abundant number, since it is smaller than the sum of its proper divisors (129645432).

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

68234328 is a wasteful number, since it uses less digits than its factorization.

68234328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 650 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 68234328 is about 8260.4072538828. The cubic root of 68234328 is about 408.6338187885.

The spelling of 68234328 in words is "sixty-eight million, two hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 107 136 153 204 214 306 321 408 428 521 612 642 856 963 1042 1224 1284 1563 1819 1926 2084 2568 3126 3638 3852 4168 4689 5457 6252 7276 7704 8857 9378 10914 12504 14552 16371 17714 18756 21828 26571 32742 35428 37512 43656 53142 55747 65484 70856 79713 106284 111494 130968 159426 167241 212568 222988 318852 334482 445976 501723 637704 668964 947699 1003446 1337928 1895398 2006892 2843097 3790796 4013784 5686194 7581592 8529291 11372388 17058582 22744776 34117164 68234328