Search a number
-
+
306740196 = 2234721392
BaseRepresentation
bin10010010010000…
…111101111100100
3210101012000110000
4102102013233210
51112011141241
650234301300
710413151200
oct2222075744
9711160400
10306740196
111481684a4
1286887830
134b71a999
142ca49b00
151bde0eb6
hex12487be4

306740196 has 135 divisors (see below), whose sum is σ = 939557619. Its totient is φ = 87009552.

The previous prime is 306740177. The next prime is 306740201. The reversal of 306740196 is 691047603.

The square root of 306740196 is 17514.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 306740196.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2206695 + ... + 2206833.

Almost surely, 2306740196 is an apocalyptic number.

306740196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

306740196 is the 17514-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306740196

306740196 is an abundant number, since it is smaller than the sum of its proper divisors (632817423).

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

306740196 is a wasteful number, since it uses less digits than its factorization.

306740196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The cubic root of 306740196 is about 674.4093202952.

Multiplying 306740196 by its sum of digits (36), we get a square (11042647056 = 1050842).

306740196 divided by its sum of digits (36) gives a square (8520561 = 29192).

Adding to 306740196 its reverse (691047603), we get a palindrome (997787799).

It can be divided in two parts, 306740 and 196, that added together give a triangular number (306936 = T783).

The spelling of 306740196 in words is "three hundred six million, seven hundred forty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 139 147 162 189 196 252 278 294 324 378 417 441 556 567 588 756 834 882 973 1134 1251 1323 1668 1764 1946 2268 2502 2646 2919 3753 3892 3969 5004 5292 5838 6811 7506 7938 8757 11259 11676 13622 15012 15876 17514 19321 20433 22518 26271 27244 35028 38642 40866 45036 52542 57963 61299 77284 78813 81732 105084 115926 122598 135247 157626 173889 183897 231852 245196 270494 315252 347778 367794 405741 521667 540988 551691 695556 735588 811482 946729 1043334 1103382 1217223 1565001 1622964 1893458 2086668 2206764 2434446 2840187 3130002 3651669 3786916 4868892 5680374 6260004 7303338 8520561 10955007 11360748 14606676 17041122 21910014 25561683 34082244 43820028 51123366 76685049 102246732 153370098 306740196