Search a number
-
+
330616404 = 22341039907
BaseRepresentation
bin10011101101001…
…100111001010100
3212001010001110000
4103231030321110
51134114211104
652450131300
711123123136
oct2355147124
9761101400
10330616404
1115a695aa8
1292880b30
135365a511
1431ca3056
151e05a639
hex13b4ce54

330616404 has 60 divisors (see below), whose sum is σ = 872775904. Its totient is φ = 109124496.

The previous prime is 330616387. The next prime is 330616453. The reversal of 330616404 is 404616033.

330616404 is a `hidden beast` number, since 3 + 3 + 0 + 616 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28419 + ... + 38325.

Almost surely, 2330616404 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 330616404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436387952).

330616404 is an abundant number, since it is smaller than the sum of its proper divisors (542159500).

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

330616404 is a wasteful number, since it uses less digits than its factorization.

330616404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330616404 is about 18182.8601710512. The cubic root of 330616404 is about 691.4723192744.

The spelling of 330616404 in words is "three hundred thirty million, six hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2781 3708 5562 8343 9907 11124 16686 19814 29721 33372 39628 59442 89163 118884 178326 267489 356652 534978 802467 1020421 1069956 1604934 2040842 3061263 3209868 4081684 6122526 9183789 12245052 18367578 27551367 36735156 55102734 82654101 110205468 165308202 330616404