Search a number
-
+
369059868 = 223317593407
BaseRepresentation
bin10101111111110…
…110100000011100
3221201110011222000
4111333312200130
51223434403433
6100342122300
712100646202
oct2577664034
9851404860
10369059868
1117a363161
12a3720390
135b5ca728
143702d072
1522601113
hex15ff681c

369059868 has 96 divisors (see below), whose sum is σ = 1030579200. Its totient is φ = 113787648.

The previous prime is 369059843. The next prime is 369059869. The reversal of 369059868 is 868950963.

369059868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369059869) 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, 106621 + ... + 110027.

It is an arithmetic number, because the mean of its divisors is an integer number (10735200).

Almost surely, 2369059868 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 369059868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515289600).

369059868 is an abundant number, since it is smaller than the sum of its proper divisors (661519332).

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

369059868 is a wasteful number, since it uses less digits than its factorization.

369059868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 369059868 is about 19210.9309508936. The cubic root of 369059868 is about 717.2968781618.

The spelling of 369059868 in words is "three hundred sixty-nine million, fifty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 59 68 102 108 118 153 177 204 236 306 354 459 531 612 708 918 1003 1062 1593 1836 2006 2124 3009 3186 3407 4012 6018 6372 6814 9027 10221 12036 13628 18054 20442 27081 30663 36108 40884 54162 57919 61326 91989 108324 115838 122652 173757 183978 201013 231676 347514 367956 402026 521271 603039 695028 804052 1042542 1206078 1563813 1809117 2085084 2412156 3127626 3417221 3618234 5427351 6255252 6834442 7236468 10251663 10854702 13668884 20503326 21709404 30754989 41006652 61509978 92264967 123019956 184529934 369059868