Search a number
-
+
307748268 = 2233113151167
BaseRepresentation
bin10010010101111…
…101110110101100
3210110002020021000
4102111331312230
51112240421033
650312040300
710424550162
oct2225756654
9713066230
10307748268
11148796913
1287093090
134b9b1789
142cc2d232
151c03ea13
hex1257ddac

307748268 has 96 divisors (see below), whose sum is σ = 815109120. Its totient is φ = 100396800.

The previous prime is 307748267. The next prime is 307748279. The reversal of 307748268 is 862847703.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (307748267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842721 + ... + 1842887.

It is an arithmetic number, because the mean of its divisors is an integer number (8490720).

Almost surely, 2307748268 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 307748268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407554560).

307748268 is an abundant number, since it is smaller than the sum of its proper divisors (507360852).

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

307748268 is a wasteful number, since it uses less digits than its factorization.

307748268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 307748268 is about 17542.7554278112. The cubic root of 307748268 is about 675.1473061225.

The spelling of 307748268 in words is "three hundred seven million, seven hundred forty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 151 167 226 302 334 339 452 453 501 604 668 678 906 1002 1017 1356 1359 1503 1812 2004 2034 2718 3006 3051 4068 4077 4509 5436 6012 6102 8154 9018 12204 16308 17063 18036 18871 25217 34126 37742 50434 51189 56613 68252 75484 75651 100868 102378 113226 151302 153567 169839 204756 226452 226953 302604 307134 339678 453906 460701 509517 614268 679356 680859 907812 921402 1019034 1361718 1842804 2038068 2723436 2849521 5699042 8548563 11398084 17097126 25645689 34194252 51291378 76937067 102582756 153874134 307748268