Search a number
-
+
3410472 = 2331317643
BaseRepresentation
bin1101000000101000101000
320102021021210
431000220220
51333113342
6201033120
740663032
oct15005050
96367253
103410472
111a1a37a
1211857a0
13925440
1464ac52
1547579c
hex340a28

3410472 has 64 divisors (see below), whose sum is σ = 9737280. Its totient is φ = 986112.

The previous prime is 3410471. The next prime is 3410479. The reversal of 3410472 is 2740143.

It is not an unprimeable number, because it can be changed into a prime (3410471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4983 + ... + 5625.

It is an arithmetic number, because the mean of its divisors is an integer number (152145).

Almost surely, 23410472 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 3410472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868640).

3410472 is an abundant number, since it is smaller than the sum of its proper divisors (6326808).

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

3410472 is a wasteful number, since it uses less digits than its factorization.

3410472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3410472 is about 1846.7463280050. The cubic root of 3410472 is about 150.5236807069.

The spelling of 3410472 in words is "three million, four hundred ten thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 643 663 884 1286 1326 1768 1929 2572 2652 3858 5144 5304 7716 8359 10931 15432 16718 21862 25077 32793 33436 43724 50154 65586 66872 87448 100308 131172 142103 200616 262344 284206 426309 568412 852618 1136824 1705236 3410472