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3146240 = 2951229
BaseRepresentation
bin1100000000001000000000
312220211211102
430000020000
51301134430
6151233532
735512466
oct14001000
95824742
103146240
1118598a9
1210788a8
138620a6
145bc836
15422345
hex300200

3146240 has 40 divisors (see below), whose sum is σ = 7549740. Its totient is φ = 1257472.

The previous prime is 3146237. The next prime is 3146243. The reversal of 3146240 is 426413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3146237) and next prime (3146243).

It can be written as a sum of positive squares in 2 ways, for example, as 2930944 + 215296 = 1712^2 + 464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×31462402 = 19797652275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3146243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1946 + ... + 3174.

Almost surely, 23146240 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 3146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774870).

3146240 is an abundant number, since it is smaller than the sum of its proper divisors (4403500).

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

3146240 is an equidigital number, since it uses as much as digits as its factorization.

3146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3146240 is about 1773.7643586452. The cubic root of 3146240 is about 146.5313720200.

The spelling of 3146240 in words is "three million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1229 1280 2458 2560 4916 6145 9832 12290 19664 24580 39328 49160 78656 98320 157312 196640 314624 393280 629248 786560 1573120 3146240