Search a number
-
+
2034708480 = 21232571983
BaseRepresentation
bin111100101000111…
…0011000000000000
312020210122220022100
41321101303000000
513131341132410
6533522510400
7101264510460
oct17121630000
95223586270
102034708480
119545a3662
12489505400
1326570a51c
14154331ba0
15bd96b8c0
hex79473000

2034708480 has 624 divisors, whose sum is σ = 8586789120. Its totient is φ = 435290112.

The previous prime is 2034708463. The next prime is 2034708491. The reversal of 2034708480 is 848074302.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 24514519 + ... + 24514601.

It is an arithmetic number, because the mean of its divisors is an integer number (13760880).

Almost surely, 22034708480 is an apocalyptic number.

2034708480 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 2034708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293394560).

2034708480 is an abundant number, since it is smaller than the sum of its proper divisors (6552080640).

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

2034708480 is a wasteful number, since it uses less digits than its factorization.

2034708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2034708480 is about 45107.7430160277. The cubic root of 2034708480 is about 1267.1676147218.

The spelling of 2034708480 in words is "two billion, thirty-four million, seven hundred eight thousand, four hundred eighty".