[go: up one dir, main page]

Search a number
-
+
3493530 = 234519227
BaseRepresentation
bin1101010100111010011010
320120111020000
431110322122
51343243110
6202513430
741460135
oct15247232
96514200
103493530
111a76817
121205876
139541a1
1466d21c
154901c0
hex354e9a

3493530 has 80 divisors (see below), whose sum is σ = 9931680. Its totient is φ = 878688.

The previous prime is 3493519. The next prime is 3493537. The reversal of 3493530 is 353943.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3493494 and 3493503.

It is not an unprimeable number, because it can be changed into a prime (3493537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15277 + ... + 15503.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

Almost surely, 23493530 is an apocalyptic number.

3493530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3493530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965840).

3493530 is an abundant number, since it is smaller than the sum of its proper divisors (6438150).

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

3493530 is a wasteful number, since it uses less digits than its factorization.

3493530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3493530 is about 1869.0987132840. The cubic root of 3493530 is about 151.7358350260.

The spelling of 3493530 in words is "three million, four hundred ninety-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 227 270 285 342 405 454 513 570 681 810 855 1026 1135 1362 1539 1710 2043 2270 2565 3078 3405 4086 4313 5130 6129 6810 7695 8626 10215 12258 12939 15390 18387 20430 21565 25878 30645 36774 38817 43130 61290 64695 77634 91935 116451 129390 183870 194085 232902 349353 388170 582255 698706 1164510 1746765 3493530