Search a number
-
+
3406080 = 2835887
BaseRepresentation
bin1100111111100100000000
320102001021010
430333210000
51332443310
6201000520
740644156
oct14774400
96361233
103406080
111a17047
121183140
13923442
146493d6
15474320
hex33f900

3406080 has 72 divisors (see below), whose sum is σ = 10890432. Its totient is φ = 907264.

The previous prime is 3406061. The next prime is 3406087. The reversal of 3406080 is 806043.

It is not an unprimeable number, because it can be changed into a prime (3406087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3397 + ... + 4283.

It is an arithmetic number, because the mean of its divisors is an integer number (151256).

Almost surely, 23406080 is an apocalyptic number.

3406080 is a gapful number since it is divisible by the number (30) 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 3406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445216).

3406080 is an abundant number, since it is smaller than the sum of its proper divisors (7484352).

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

3406080 is an equidigital number, since it uses as much as digits as its factorization.

3406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3406080 is about 1845.5568265431. The cubic root of 3406080 is about 150.4590382374.

The spelling of 3406080 in words is "three million, four hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 887 960 1280 1774 1920 2661 3548 3840 4435 5322 7096 8870 10644 13305 14192 17740 21288 26610 28384 35480 42576 53220 56768 70960 85152 106440 113536 141920 170304 212880 227072 283840 340608 425760 567680 681216 851520 1135360 1703040 3406080