Search a number
-
+
3047400 = 2332521693
BaseRepresentation
bin1011100111111111101000
312201211020200
423213333220
51240004100
6145152200
734621356
oct13477750
95654220
103047400
1117a1614
12102b660
138290c5
145947d6
15402e00
hex2e7fe8

3047400 has 72 divisors (see below), whose sum is σ = 10240230. Its totient is φ = 812160.

The previous prime is 3047399. The next prime is 3047411. The reversal of 3047400 is 47403.

It can be written as a sum of positive squares in 3 ways, for example, as 2090916 + 956484 = 1446^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 954 + ... + 2646.

Almost surely, 23047400 is an apocalyptic number.

3047400 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 3047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120115).

3047400 is an abundant number, since it is smaller than the sum of its proper divisors (7192830).

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

3047400 is a wasteful number, since it uses less digits than its factorization.

3047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3047400 is about 1745.6803831171. The cubic root of 3047400 is about 144.9805760743.

The spelling of 3047400 in words is "three million, forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1693 1800 3386 5079 6772 8465 10158 13544 15237 16930 20316 25395 30474 33860 40632 42325 50790 60948 67720 76185 84650 101580 121896 126975 152370 169300 203160 253950 304740 338600 380925 507900 609480 761850 1015800 1523700 3047400