Search a number
-
+
3444840 = 2332571367
BaseRepresentation
bin1101001001000001101000
320111000102200
431021001220
51340213330
6201500200
741165160
oct15110150
96430380
103444840
111a43183
1211a1660
13937c89
146595a0
15480a60
hex349068

3444840 has 96 divisors (see below), whose sum is σ = 12804480. Its totient is φ = 786816.

The previous prime is 3444827. The next prime is 3444851. The reversal of 3444840 is 484443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

Almost surely, 23444840 is an apocalyptic number.

3444840 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 3444840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240).

3444840 is an abundant number, since it is smaller than the sum of its proper divisors (9359640).

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

3444840 is a wasteful number, since it uses less digits than its factorization.

3444840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3444840 is about 1856.0280170299. The cubic root of 3444840 is about 151.0276106989.

It can be divided in two parts, 344 and 4840, that added together give a square (5184 = 722).

The spelling of 3444840 in words is "three million, four hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 1367 2520 2734 4101 5468 6835 8202 9569 10936 12303 13670 16404 19138 20505 24606 27340 28707 32808 38276 41010 47845 49212 54680 57414 61515 76552 82020 86121 95690 98424 114828 123030 143535 164040 172242 191380 229656 246060 287070 344484 382760 430605 492120 574140 688968 861210 1148280 1722420 3444840