Search a number
-
+
2942964 = 223281749
BaseRepresentation
bin1011001110011111110100
312112111222200
423032133310
51223133324
6143024500
734005033
oct13163764
95474880
102942964
111730102
12b9b130
137c06cb
1456871a
153d1ec9
hex2ce7f4

2942964 has 18 divisors (see below), whose sum is σ = 7439250. Its totient is φ = 980976.

The previous prime is 2942959. The next prime is 2942977. The reversal of 2942964 is 4692492.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 1232100 = 1308^2 + 1110^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-5 number, since 5×29429645 (a number of 34 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 81749 = 2942964 / (2 + 9 + 4 + 2 + 9 + 6 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40839 + ... + 40910.

22942964 is an apocalyptic number.

It is an amenable number.

2942964 is an abundant number, since it is smaller than the sum of its proper divisors (4496286).

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

2942964 is a wasteful number, since it uses less digits than its factorization.

2942964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81759 (or 81754 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2942964 is about 1715.5069221662. The cubic root of 2942964 is about 143.3051011038.

The spelling of 2942964 in words is "two million, nine hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 81749 163498 245247 326996 490494 735741 980988 1471482 2942964