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7834068 = 22321173271
BaseRepresentation
bin11101111000100111010100
3112202000022200
4131320213110
54001142233
6435524500
7123405564
oct35704724
915660280
107834068
114470940
122759730
131813a58
14107cda4
15a4b313
hex7789d4

7834068 has 72 divisors (see below), whose sum is σ = 21979776. Its totient is φ = 2332800.

The previous prime is 7834051. The next prime is 7834091. The reversal of 7834068 is 8604387.

7834068 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78340682 = 122745242857248, which contains 22 as substring.

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

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, 28773 + ... + 29043.

Almost surely, 27834068 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 7834068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10989888).

7834068 is an abundant number, since it is smaller than the sum of its proper divisors (14145708).

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

7834068 is a wasteful number, since it uses less digits than its factorization.

7834068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7834068 is about 2798.9405138373. The cubic root of 7834068 is about 198.6075614053.

It can be divided in two parts, 783 and 4068, that added together give a triangular number (4851 = T98).

The spelling of 7834068 in words is "seven million, eight hundred thirty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 271 292 396 438 542 657 803 813 876 1084 1314 1606 1626 2409 2439 2628 2981 3212 3252 4818 4878 5962 7227 8943 9636 9756 11924 14454 17886 19783 26829 28908 35772 39566 53658 59349 79132 107316 118698 178047 217613 237396 356094 435226 652839 712188 870452 1305678 1958517 2611356 3917034 7834068