Search a number
-
+
2945440 = 25541449
BaseRepresentation
bin1011001111000110100000
312112122101101
423033012200
51223223230
6143044144
734015201
oct13170640
95478341
102945440
111731a53
12ba0654
137c1884
145695a8
153d2aca
hex2cf1a0

2945440 has 48 divisors (see below), whose sum is σ = 7144200. Its totient is φ = 1146880.

The previous prime is 2945429. The next prime is 2945441. The reversal of 2945440 is 445492.

It can be written as a sum of positive squares in 4 ways, for example, as 1752976 + 1192464 = 1324^2 + 1092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2945399 and 2945408.

It is not an unprimeable number, because it can be changed into a prime (2945441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6336 + ... + 6784.

22945440 is an apocalyptic number.

2945440 is a gapful number since it is divisible by the number (20) 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 2945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572100).

2945440 is an abundant number, since it is smaller than the sum of its proper divisors (4198760).

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

2945440 is a wasteful number, since it uses less digits than its factorization.

2945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2945440 is about 1716.2284230253. The cubic root of 2945440 is about 143.3452787352.

The spelling of 2945440 in words is "two million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 449 656 820 898 1312 1640 1796 2245 3280 3592 4490 6560 7184 8980 14368 17960 18409 35920 36818 71840 73636 92045 147272 184090 294544 368180 589088 736360 1472720 2945440