Base | Representation |
---|---|

bin | 10101111111011… |

… | …000000000000000 |

3 | 221201012211120000 |

4 | 111333120000000 |

5 | 1223421404122 |

6 | 100335320000 |

7 | 12066615663 |

oct | 2577300000 |

9 | 851184500 |

10 | 368934912 |

11 | 17a288295 |

12 | a3680000 |

13 | 5b5858a8 |

14 | 36dd96da |

15 | 225c90ac |

hex | 15fd8000 |

368934912 has 160 divisors (see below), whose sum is σ = 1110162900. Its totient is φ = 122093568.

The previous prime is 368934889. The next prime is 368934949. The reversal of 368934912 is 219439863.

It is a happy number.

368934912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368934912^{2} = 272225938584895488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654139 + ... + 2654277.

Almost surely, 2^{368934912} is an apocalyptic number.

368934912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555081450).

368934912 is an abundant number, since it is smaller than the sum of its proper divisors (741227988).

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

368934912 is an frugal number, since it uses more digits than its factorization.

368934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 144 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 368934912 is about 19207.6784646141. The cubic root of 368934912 is about 717.2159150859.

The spelling of 368934912 in words is "three hundred sixty-eight million, nine hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 139 144 162 192 216 256 278 288 324 384 417 432 512 556 576 648 768 834 864 1024 1112 1152 1251 1296 1536 1668 1728 2048 2224 2304 2502 2592 3072 3336 3456 3753 4096 4448 4608 5004 5184 6144 6672 6912 7506 8192 8896 9216 10008 10368 11259 12288 13344 13824 15012 16384 17792 18432 20016 20736 22518 24576 26688 27648 30024 32768 35584 36864 40032 41472 45036 49152 53376 55296 60048 71168 73728 80064 82944 90072 98304 106752 110592 120096 142336 147456 160128 165888 180144 213504 221184 240192 284672 294912 320256 331776 360288 427008 442368 480384 569344 640512 663552 720576 854016 884736 960768 1138688 1281024 1327104 1441152 1708032 1921536 2277376 2562048 2654208 2882304 3416064 3843072 4554752 5124096 5764608 6832128 7686144 10248192 11529216 13664256 15372288 20496384 23058432 30744576 40992768 46116864 61489152 92233728 122978304 184467456 368934912

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