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6968304 = 2432731223
BaseRepresentation
bin11010100101001111110000
3111010000201100
4122211033300
53240441204
6405204400
7113141520
oct32451760
914100640
106968304
113a2a432
122400700
13159c975
14cd5680
15929a39
hex6a53f0

6968304 has 120 divisors (see below), whose sum is σ = 23109632. Its totient is φ = 1918080.

The previous prime is 6968303. The next prime is 6968327. The reversal of 6968304 is 4038696.

6968304 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

6968304 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6968303) 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, 31137 + ... + 31359.

Almost surely, 26968304 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 6968304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554816).

6968304 is an abundant number, since it is smaller than the sum of its proper divisors (16141328).

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

6968304 is a wasteful number, since it uses less digits than its factorization.

6968304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6968304 is about 2639.7545340429. The cubic root of 6968304 is about 191.0039563154.

The spelling of 6968304 in words is "six million, nine hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 223 248 252 279 336 372 434 446 496 504 558 651 669 744 868 892 1008 1116 1302 1338 1488 1561 1736 1784 1953 2007 2232 2604 2676 3122 3472 3568 3906 4014 4464 4683 5208 5352 6244 6913 7812 8028 9366 10416 10704 12488 13826 14049 15624 16056 18732 20739 24976 27652 28098 31248 32112 37464 41478 48391 55304 56196 62217 74928 82956 96782 110608 112392 124434 145173 165912 193564 224784 248868 290346 331824 387128 435519 497736 580692 774256 871038 995472 1161384 1742076 2322768 3484152 6968304