Search a number
-
+
3416430 = 235472423
BaseRepresentation
bin1101000010000101101110
320102120110110
431002011232
51333311210
6201120450
741016303
oct15020556
96376413
103416430
111a238a6
121189126
13928074
1464d0aa
15477420
hex34216e

3416430 has 32 divisors (see below), whose sum is σ = 8377344. Its totient is φ = 891296.

The previous prime is 3416429. The next prime is 3416431. The reversal of 3416430 is 346143.

It is an interprime number because it is at equal distance from previous prime (3416429) and next prime (3416431).

It is a junction number, because it is equal to n+sod(n) for n = 3416397 and 3416406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (261792).

Almost surely, 23416430 is an apocalyptic number.

3416430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188672).

3416430 is an abundant number, since it is smaller than the sum of its proper divisors (4960914).

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

3416430 is a wasteful number, since it uses less digits than its factorization.

3416430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3416430 is about 1848.3587314155. The cubic root of 3416430 is about 150.6112832788.

The spelling of 3416430 in words is "three million, four hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2423 4846 7269 12115 14538 24230 36345 72690 113881 227762 341643 569405 683286 1138810 1708215 3416430