Search a number
-
+
3484992 = 26372593
BaseRepresentation
bin1101010010110101000000
320120001111210
431102311000
51343004432
6202410120
741423220
oct15226500
96501453
103484992
111a70365
121200940
13950334
1466a080
1548c8cc
hex352d40

3484992 has 56 divisors (see below), whose sum is σ = 10542016. Its totient is φ = 995328.

The previous prime is 3484979. The next prime is 3484997. The reversal of 3484992 is 2994843.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3484992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484997) 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, 48 + ... + 2640.

Almost surely, 23484992 is an apocalyptic number.

3484992 is a gapful number since it is divisible by the number (32) 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 3484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271008).

3484992 is an abundant number, since it is smaller than the sum of its proper divisors (7057024).

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

3484992 is a wasteful number, since it uses less digits than its factorization.

3484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2605 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3484992 is about 1866.8133275719. The cubic root of 3484992 is about 151.6121227743.

The spelling of 3484992 in words is "three million, four hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2593 5186 7779 10372 15558 18151 20744 31116 36302 41488 54453 62232 72604 82976 108906 124464 145208 165952 217812 248928 290416 435624 497856 580832 871248 1161664 1742496 3484992