Search a number
-
+
3344233680 = 243254644769
BaseRepresentation
bin1100011101010100…
…1111010011010000
322122001202200011200
43013111033103100
523322110434210
61311502311200
7145605342264
oct30725172320
98561680150
103344233680
111466807297
12793b88500
13413acbbc8
1423a2120a4
151488de0c0
hexc754f4d0

3344233680 has 60 divisors (see below), whose sum is σ = 11231053860. Its totient is φ = 891795456.

The previous prime is 3344233679. The next prime is 3344233691. The reversal of 3344233680 is 863324433.

3344233680 is a `hidden beast` number, since 3 + 344 + 233 + 6 + 80 = 666.

3344233680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 2960230464 = 19596^2 + 54408^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×33442336802 = 22367797812892684800, which contains 22 as substring.

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

It is a congruent number.

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, 2321665 + ... + 2323104.

It is an arithmetic number, because the mean of its divisors is an integer number (187184231).

Almost surely, 23344233680 is an apocalyptic number.

3344233680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3344233680 is an abundant number, since it is smaller than the sum of its proper divisors (7886820180).

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

3344233680 is a wasteful number, since it uses less digits than its factorization.

3344233680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644788 (or 4644779 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3344233680 is about 57829.3496418557. The cubic root of 3344233680 is about 1495.4281060144.

The spelling of 3344233680 in words is "three billion, three hundred forty-four million, two hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4644769 9289538 13934307 18579076 23223845 27868614 37158152 41802921 46447690 55737228 69671535 74316304 83605842 92895380 111474456 139343070 167211684 185790760 209014605 222948912 278686140 334423368 371581520 418029210 557372280 668846736 836058420 1114744560 1672116840 3344233680