Search a number
-
+
3235140 = 223451997
BaseRepresentation
bin1100010101110101000100
320002100210000
430111311010
51312011030
6153201300
736332616
oct14256504
96070700
103235140
11190a677
121100230
138936ac
14602db6
1543d860
hex315d44

3235140 has 60 divisors (see below), whose sum is σ = 10153836. Its totient is φ = 862272.

The previous prime is 3235123. The next prime is 3235159. The reversal of 3235140 is 415323.

It can be written as a sum of positive squares in 2 ways, for example, as 492804 + 2742336 = 702^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×32351402 = 20932261639200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 622 + ... + 2618.

Almost surely, 23235140 is an apocalyptic number.

3235140 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 3235140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076918).

3235140 is an abundant number, since it is smaller than the sum of its proper divisors (6918696).

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

3235140 is a wasteful number, since it uses less digits than its factorization.

3235140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3235140 is about 1798.6494933700. The cubic root of 3235140 is about 147.8987010736.

It can be divided in two parts, 3235 and 140, that added together give a cube (3375 = 153).

The spelling of 3235140 in words is "three million, two hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1997 3994 5991 7988 9985 11982 17973 19970 23964 29955 35946 39940 53919 59910 71892 89865 107838 119820 161757 179730 215676 269595 323514 359460 539190 647028 808785 1078380 1617570 3235140