Search a number
-
+
3449040 = 243572053
BaseRepresentation
bin1101001010000011010000
320111020012020
431022003100
51340332130
6201531440
741213340
oct15120320
96436166
103449040
111a46351
1211a3b80
13939b6a
1465ad20
15481e10
hex34a0d0

3449040 has 80 divisors (see below), whose sum is σ = 12225408. Its totient is φ = 787968.

The previous prime is 3449003. The next prime is 3449053. The reversal of 3449040 is 409443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3449040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 2706.

Almost surely, 23449040 is an apocalyptic number.

3449040 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 3449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112704).

3449040 is an abundant number, since it is smaller than the sum of its proper divisors (8776368).

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

3449040 is a wasteful number, since it uses less digits than its factorization.

3449040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3449040 is about 1857.1591208079. The cubic root of 3449040 is about 151.0889641386.

The spelling of 3449040 in words is "three million, four hundred forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2053 4106 6159 8212 10265 12318 14371 16424 20530 24636 28742 30795 32848 41060 43113 49272 57484 61590 71855 82120 86226 98544 114968 123180 143710 164240 172452 215565 229936 246360 287420 344904 431130 492720 574840 689808 862260 1149680 1724520 3449040