Search a number
-
+
2341678080 = 21035729751
BaseRepresentation
bin1000101110010011…
…0010110000000000
320001012021120102210
42023210302300000
514243432144310
61024210142120
7112012635540
oct21344626000
96035246383
102341678080
11aa18a8445
12554281940
132b41a8741
14182ddb320
15da8a5820
hex8b932c00

2341678080 has 352 divisors, whose sum is σ = 8866621440. Its totient is φ = 516096000.

The previous prime is 2341678069. The next prime is 2341678091. The reversal of 2341678080 is 808761432.

It is an interprime number because it is at equal distance from previous prime (2341678069) and next prime (2341678091).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3117705 + ... + 3118455.

Almost surely, 22341678080 is an apocalyptic number.

2341678080 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 2341678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433310720).

2341678080 is an abundant number, since it is smaller than the sum of its proper divisors (6524943360).

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

2341678080 is a wasteful number, since it uses less digits than its factorization.

2341678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2341678080 is about 48390.8883985405. Note that the first 3 decimals coincide. The cubic root of 2341678080 is about 1327.9316750061.

The spelling of 2341678080 in words is "two billion, three hundred forty-one million, six hundred seventy-eight thousand, eighty".