Search a number
-
+
3474864 = 243259409
BaseRepresentation
bin1101010000010110110000
320112112121200
431100112300
51342143424
6202251200
741351541
oct15202660
96475550
103474864
111a63798
1211b6b00
13948843
146664c8
154898c9
hex3505b0

3474864 has 60 divisors (see below), whose sum is σ = 9913800. Its totient is φ = 1135872.

The previous prime is 3474859. The next prime is 3474871. The reversal of 3474864 is 4684743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8292 + ... + 8700.

It is an arithmetic number, because the mean of its divisors is an integer number (165230).

Almost surely, 23474864 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 3474864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956900).

3474864 is an abundant number, since it is smaller than the sum of its proper divisors (6438936).

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

3474864 is a wasteful number, since it uses less digits than its factorization.

3474864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3474864 is about 1864.0987098327. The cubic root of 3474864 is about 151.4651097644.

The spelling of 3474864 in words is "three million, four hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 409 472 531 708 818 944 1062 1227 1416 1636 2124 2454 2832 3272 3681 4248 4908 6544 7362 8496 9816 14724 19632 24131 29448 48262 58896 72393 96524 144786 193048 217179 289572 386096 434358 579144 868716 1158288 1737432 3474864