Search a number
-
+
945241968 = 243111790231
BaseRepresentation
bin111000010101110…
…011111101110000
32102212122021012210
4320111303331300
53413440220333
6233443452120
732265265326
oct7025637560
92385567183
10945241968
11445623310
12224687040
13120aa7198
148d775d16
1557eb6a63
hex38573f70

945241968 has 40 divisors (see below), whose sum is σ = 2663865216. Its totient is φ = 286436800.

The previous prime is 945241961. The next prime is 945241981. The reversal of 945241968 is 869142549.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945241961) 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 7 ways as a sum of consecutive naturals, for example, 894588 + ... + 895643.

Almost surely, 2945241968 is an apocalyptic number.

It is an amenable number.

945241968 is an abundant number, since it is smaller than the sum of its proper divisors (1718623248).

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

945241968 is a wasteful number, since it uses less digits than its factorization.

945241968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790253 (or 1790247 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 945241968 is about 30744.7876557962. The cubic root of 945241968 is about 981.4036418215.

The spelling of 945241968 in words is "nine hundred forty-five million, two hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1790231 3580462 5370693 7160924 10741386 14321848 19692541 21482772 28643696 39385082 42965544 59077623 78770164 85931088 118155246 157540328 236310492 315080656 472620984 945241968