Search a number
-
+
2940114240 = 263357173281
BaseRepresentation
bin1010111100111110…
…1001010101000000
321120220100021112000
42233033221111000
522010132123430
61203424504000
7132600362430
oct25717512500
97526307460
102940114240
111279688388
126a077b000
1337b17758b
141dc6982c0
151231b4e60
hexaf3e9540

2940114240 has 448 divisors, whose sum is σ = 11964741120. Its totient is φ = 665763840.

The previous prime is 2940114227. The next prime is 2940114241. The reversal of 2940114240 is 424110492.

It is a happy number.

2940114240 is a `hidden beast` number, since 2 + 9 + 401 + 14 + 240 = 666.

2940114240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940114241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10462900 + ... + 10463180.

Almost surely, 22940114240 is an apocalyptic number.

2940114240 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 2940114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5982370560).

2940114240 is an abundant number, since it is smaller than the sum of its proper divisors (9024626880).

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

2940114240 is a wasteful number, since it uses less digits than its factorization.

2940114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2940114240 is about 54222.8202881407. The cubic root of 2940114240 is about 1432.5883062802.

The spelling of 2940114240 in words is "two billion, nine hundred forty million, one hundred fourteen thousand, two hundred forty".