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3480048 = 243211133
BaseRepresentation
bin1101010001100111110000
320112210201200
431101213300
51342330143
6202331200
741402625
oct15214760
96483650
103480048
111a67680
1211b9b00
1394b000
1466834c
1548b1d3
hex3519f0

3480048 has 120 divisors (see below), whose sum is σ = 11509680. Its totient is φ = 973440.

The previous prime is 3480031. The next prime is 3480049. The reversal of 3480048 is 8400843.

3480048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34800482 = 24221468164608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267690 + ... + 267702.

It is an arithmetic number, because the mean of its divisors is an integer number (95914).

Almost surely, 23480048 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 3480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754840).

3480048 is an abundant number, since it is smaller than the sum of its proper divisors (8029632).

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

3480048 is a wasteful number, since it uses less digits than its factorization.

3480048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3480048 is about 1865.4886759238. The cubic root of 3480048 is about 151.5403937645.

The spelling of 3480048 in words is "three million, four hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 169 176 198 208 234 264 286 312 338 396 429 468 507 528 572 624 676 792 858 936 1014 1144 1287 1352 1521 1584 1716 1859 1872 2028 2197 2288 2574 2704 3042 3432 3718 4056 4394 5148 5577 6084 6591 6864 7436 8112 8788 10296 11154 12168 13182 14872 16731 17576 19773 20592 22308 24167 24336 26364 29744 33462 35152 39546 44616 48334 52728 66924 72501 79092 89232 96668 105456 133848 145002 158184 193336 217503 267696 290004 316368 386672 435006 580008 870012 1160016 1740024 3480048