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3143040 = 27351637
BaseRepresentation
bin1011111111010110000000
312220200102220
423333112000
51301034130
6151211040
735500245
oct13772600
95820386
103143040
11185745a
121076a80
138607b4
145bb5cc
15421410
hex2ff580

3143040 has 64 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 837632.

The previous prime is 3143033. The next prime is 3143051. The reversal of 3143040 is 403413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1102 + ... + 2738.

Almost surely, 23143040 is an apocalyptic number.

3143040 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 3143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3143040 is an abundant number, since it is smaller than the sum of its proper divisors (6881520).

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

3143040 is a wasteful number, since it uses less digits than its factorization.

3143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3143040 is about 1772.8620927754. The cubic root of 3143040 is about 146.4816767805.

Adding to 3143040 its reverse (403413), we get a palindrome (3546453).

It can be divided in two parts, 31 and 43040, that added together give a triangular number (43071 = T293).

The spelling of 3143040 in words is "three million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1637 1920 3274 4911 6548 8185 9822 13096 16370 19644 24555 26192 32740 39288 49110 52384 65480 78576 98220 104768 130960 157152 196440 209536 261920 314304 392880 523840 628608 785760 1047680 1571520 3143040