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68916348 = 223231371669
BaseRepresentation
bin1000001101110…
…01010001111100
311210200022110100
410012321101330
5120120310343
610501041100
71464531204
oct406712174
9153608410
1068916348
11359a0966
121b0b6190
131137c507
14921d404
1560b49d3
hex41b947c

68916348 has 72 divisors (see below), whose sum is σ = 184795520. Its totient is φ = 21617280.

The previous prime is 68916329. The next prime is 68916359. The reversal of 68916348 is 84361986.

68916348 is a `hidden beast` number, since 6 + 8 + 9 + 1 + 634 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40458 + ... + 42126.

Almost surely, 268916348 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 68916348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92397760).

68916348 is an abundant number, since it is smaller than the sum of its proper divisors (115879172).

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

68916348 is a wasteful number, since it uses less digits than its factorization.

68916348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1742 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 68916348 is about 8301.5870771799. The cubic root of 68916348 is about 409.9907751246.

The spelling of 68916348 in words is "sixty-eight million, nine hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1332 1669 2294 3338 3441 4588 5007 6676 6882 10014 10323 13764 15021 20028 20646 30042 41292 51739 60084 61753 103478 123506 155217 185259 206956 247012 310434 370518 465651 555777 620868 741036 931302 1111554 1862604 1914343 2223108 3828686 5743029 7657372 11486058 17229087 22972116 34458174 68916348