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3144400 = 245271123
BaseRepresentation
bin1011111111101011010000
312220202022021
423333223100
51301110100
6151221224
735504230
oct13775320
95822267
103144400
111858486
121077814
138612bc
145bbcc0
15421a1a
hex2ffad0

3144400 has 60 divisors (see below), whose sum is σ = 8641312. Its totient is φ = 1077120.

The previous prime is 3144389. The next prime is 3144403. The reversal of 3144400 is 44413.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239 + ... + 3361.

Almost surely, 23144400 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 3144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320656).

3144400 is an abundant number, since it is smaller than the sum of its proper divisors (5496912).

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

3144400 is a wasteful number, since it uses less digits than its factorization.

3144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3144400 is about 1773.2456118654. The cubic root of 3144400 is about 146.5028013769.

Adding to 3144400 its reverse (44413), we get a palindrome (3188813).

The spelling of 3144400 in words is "three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1123 1400 2246 2800 4492 5615 7861 8984 11230 15722 17968 22460 28075 31444 39305 44920 56150 62888 78610 89840 112300 125776 157220 196525 224600 314440 393050 449200 628880 786100 1572200 3144400