Search a number
-
+
69312348 = 2235761167
BaseRepresentation
bin1000010000110…
…01111101011100
311211102102200000
410020121331130
5120220443343
610513334300
71501100550
oct410317534
9154372600
1069312348
1136141436
121b267390
131148a831
1492c3860
156141ed3
hex4219f5c

69312348 has 144 divisors (see below), whose sum is σ = 212319744. Its totient is φ = 19362240.

The previous prime is 69312343. The next prime is 69312391. The reversal of 69312348 is 84321396.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69312343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 414961 + ... + 415127.

Almost surely, 269312348 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 69312348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106159872).

69312348 is an abundant number, since it is smaller than the sum of its proper divisors (143007396).

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

69312348 is a wasteful number, since it uses less digits than its factorization.

69312348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

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

The square root of 69312348 is about 8325.4037739920. The cubic root of 69312348 is about 410.7745580190.

It can be divided in two parts, 693 and 12348, that added together give a triangular number (13041 = T161).

The spelling of 69312348 in words is "sixty-nine million, three hundred twelve thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 61 63 81 84 108 122 126 162 167 183 189 243 244 252 324 334 366 378 427 486 501 549 567 668 732 756 854 972 1002 1098 1134 1169 1281 1503 1647 1701 1708 2004 2196 2268 2338 2562 3006 3294 3402 3507 3843 4509 4676 4941 5124 6012 6588 6804 7014 7686 9018 9882 10187 10521 11529 13527 14028 14823 15372 18036 19764 20374 21042 23058 27054 29646 30561 31563 34587 40581 40748 42084 46116 54108 59292 61122 63126 69174 71309 81162 91683 94689 103761 122244 126252 138348 142618 162324 183366 189378 207522 213927 275049 284067 285236 366732 378756 415044 427854 550098 568134 641781 825147 855708 1100196 1136268 1283562 1650294 1925343 2475441 2567124 3300588 3850686 4950882 5776029 7701372 9901764 11552058 17328087 23104116 34656174 69312348