Search a number
-
+
1678404 = 2237132953
BaseRepresentation
bin110011001110001000100
310011021100010
412121301010
5412202104
655550220
720160210
oct6316104
93137303
101678404
11a47012
1268b370
13469c50
14319940
15232489
hex199c44

1678404 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 419328.

The previous prime is 1678399. The next prime is 1678409. The reversal of 1678404 is 4048761.

It is an interprime number because it is at equal distance from previous prime (1678399) and next prime (1678409).

It is not an unprimeable number, because it can be changed into a prime (1678409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31642 + ... + 31694.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21678404 is an apocalyptic number.

1678404 is a gapful number since it is divisible by the number (14) 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 1678404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1678404 is an abundant number, since it is smaller than the sum of its proper divisors (3401916).

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

1678404 is a wasteful number, since it uses less digits than its factorization.

1678404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1678404 is about 1295.5323230240. The cubic root of 1678404 is about 118.8407822891.

The spelling of 1678404 in words is "one million, six hundred seventy-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 53 58 78 84 87 91 106 116 156 159 174 182 203 212 273 318 348 364 371 377 406 546 609 636 689 742 754 812 1092 1113 1131 1218 1378 1484 1508 1537 2067 2226 2262 2436 2639 2756 3074 4134 4452 4524 4611 4823 5278 6148 7917 8268 9222 9646 10556 10759 14469 15834 18444 19292 19981 21518 28938 31668 32277 39962 43036 57876 59943 64554 79924 119886 129108 139867 239772 279734 419601 559468 839202 1678404