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68834052 = 22327299419
BaseRepresentation
bin1000001101001…
…01001100000100
311210112010120100
410012211030010
5120110142202
610455204100
71464036240
oct406451404
9153463510
1068834052
1135945051
121b076630
1311350c11
1491db420
15609a41c
hex41a5304

68834052 has 72 divisors (see below), whose sum is σ = 205732800. Its totient is φ = 18986688.

The previous prime is 68834033. The next prime is 68834053. The reversal of 68834052 is 25043886.

It is a super-3 number, since 3×688340523 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 68833998 and 68834016.

It is not an unprimeable number, because it can be changed into a prime (68834053) 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, 2599 + ... + 12017.

It is an arithmetic number, because the mean of its divisors is an integer number (2857400).

Almost surely, 268834052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68834052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102866400).

68834052 is an abundant number, since it is smaller than the sum of its proper divisors (136898748).

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

68834052 is a wasteful number, since it uses less digits than its factorization.

68834052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 68834052 is about 8296.6289539788. The cubic root of 68834052 is about 409.8275141998.

The spelling of 68834052 in words is "sixty-eight million, eight hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 9419 18838 28257 37676 56514 65933 84771 113028 131866 169542 197799 263732 273151 339084 395598 546302 593397 791196 819453 1092604 1186794 1638906 1912057 2373588 2458359 3277812 3824114 4916718 5736171 7648228 9833436 11472342 17208513 22944684 34417026 68834052