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

bin | 1100110001100110100100 |

3 | 20022010211100 |

4 | 30301212210 |

5 | 1324131100 |

6 | 155440100 |

7 | 40315362 |

oct | 14614644 |

9 | 6263740 |

10 | 3348900 |

11 | 1988095 |

12 | 1156030 |

13 | 9033c9 |

14 | 632632 |

15 | 462400 |

hex | 3319a4 |

3348900 has 81 divisors (see below), whose sum is σ = 10671843. Its totient is φ = 878400.

The previous prime is 3348893. The next prime is 3348913. The reversal of 3348900 is 98433.

3348900 = 1^{3} + 2^{3} + ... + 60^{3}.

The square root of 3348900 is 1830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 1806336 = 1242^2 + 1344^2 .

It is a super-2 number, since 2×3348900^{2} = 22430262420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54870 + ... + 54930.

Almost surely, 2^{3348900} is an apocalyptic number.

3348900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3348900 is the 1830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348900

3348900 is an abundant number, since it is smaller than the sum of its proper divisors (7322943).

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

3348900 is a wasteful number, since it uses less digits than its factorization.

3348900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 3348900 is about 149.6123322881.

The spelling of 3348900 in words is "three million, three hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 3721 4575 5490 6100 7442 9150 10980 11163 13725 14884 18300 18605 22326 27450 33489 37210 44652 54900 55815 66978 74420 93025 111630 133956 167445 186050 223260 279075 334890 372100 558150 669780 837225 1116300 1674450 3348900

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