Search a number
-
+
2949724344 = 233722508269
BaseRepresentation
bin1010111111010001…
…0011100010111000
321121120102112002210
42233310103202320
522020112134334
61204410455120
7133045146300
oct25764234270
97546375083
102949724344
111284051616
126a3a344a0
13380160828
141dda7a600
15123e625e9
hexafd138b8

2949724344 has 48 divisors (see below), whose sum is σ = 8578283400. Its totient is φ = 842778048.

The previous prime is 2949724279. The next prime is 2949724361. The reversal of 2949724344 is 4434279492.

It is a junction number, because it is equal to n+sod(n) for n = 2949724293 and 2949724302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1252959 + ... + 1255310.

Almost surely, 22949724344 is an apocalyptic number.

2949724344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2949724344 is an abundant number, since it is smaller than the sum of its proper divisors (5628559056).

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

2949724344 is a wasteful number, since it uses less digits than its factorization.

2949724344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508292 (or 2508281 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 2949724344 is about 54311.3647775491. The cubic root of 2949724344 is about 1434.1474690246.

The spelling of 2949724344 in words is "two billion, nine hundred forty-nine million, seven hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2508269 5016538 7524807 10033076 15049614 17557883 20066152 30099228 35115766 52673649 60198456 70231532 105347298 122905181 140463064 210694596 245810362 368715543 421389192 491620724 737431086 983241448 1474862172 2949724344