Search a number
-
+
168330744 = 233323311093
BaseRepresentation
bin10100000100010…
…00010111111000
3102201202002101000
422002020113320
5321043040434
624411525000
74112534121
oct1202102770
9381662330
10168330744
118702241a
1248459760
1328b495ba
14184db048
15eba0b99
hexa0885f8

168330744 has 128 divisors (see below), whose sum is σ = 504115200. Its totient is φ = 51891840.

The previous prime is 168330691. The next prime is 168330749. The reversal of 168330744 is 447033861.

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 = 168330699 and 168330708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168330749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153462 + ... + 154554.

It is an arithmetic number, because the mean of its divisors is an integer number (3938400).

Almost surely, 2168330744 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 168330744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252057600).

168330744 is an abundant number, since it is smaller than the sum of its proper divisors (335784456).

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

168330744 is a wasteful number, since it uses less digits than its factorization.

168330744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 168330744 is about 12974.2338502125. The cubic root of 168330744 is about 552.1467001398.

The spelling of 168330744 in words is "one hundred sixty-eight million, three hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 31 36 46 54 62 69 72 92 93 108 124 138 184 186 207 216 248 276 279 372 414 552 558 621 713 744 828 837 1093 1116 1242 1426 1656 1674 2139 2186 2232 2484 2852 3279 3348 4278 4372 4968 5704 6417 6558 6696 8556 8744 9837 12834 13116 17112 19251 19674 25139 25668 26232 29511 33883 38502 39348 50278 51336 59022 67766 75417 77004 78696 100556 101649 118044 135532 150834 154008 201112 203298 226251 236088 271064 301668 304947 406596 452502 603336 609894 678753 779309 813192 905004 914841 1219788 1357506 1558618 1810008 1829682 2337927 2439576 2715012 3117236 3659364 4675854 5430024 6234472 7013781 7318728 9351708 14027562 18703416 21041343 28055124 42082686 56110248 84165372 168330744