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1683416 = 237231307
BaseRepresentation
bin110011010111111011000
310011112012202
412122333120
5412332131
6100025332
720210630
oct6327730
93145182
101683416
11a4a859
12692248
1346c307
1431b6c0
15233bcb
hex19afd8

1683416 has 32 divisors (see below), whose sum is σ = 3767040. Its totient is φ = 689568.

The previous prime is 1683403. The next prime is 1683433. The reversal of 1683416 is 6143861.

1683416 = T49 + T50 + ... + T216.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635 + ... + 1941.

It is an arithmetic number, because the mean of its divisors is an integer number (117720).

21683416 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 1683416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883520).

1683416 is an abundant number, since it is smaller than the sum of its proper divisors (2083624).

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

1683416 is a wasteful number, since it uses less digits than its factorization.

1683416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1339 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 1683416 is about 1297.4652211138. The cubic root of 1683416 is about 118.9589576704.

The spelling of 1683416 in words is "one million, six hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 1307 2614 5228 9149 10456 18298 30061 36596 60122 73192 120244 210427 240488 420854 841708 1683416