Search a number
-
+
2300433408 = 210327132211
BaseRepresentation
bin1000100100011101…
…1101010000000000
312221022200010101100
42021013131100000
514202402332113
61020134134400
7111002234640
oct21107352000
95838603340
102300433408
11a80597739
125424b1400
132a8797500
1417b742520
15d6e59d73
hex891dd400

2300433408 has 396 divisors, whose sum is σ = 8259202848. Its totient is φ = 603832320.

The previous prime is 2300433397. The next prime is 2300433431. The reversal of 2300433408 is 8043340032.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 10902423 + ... + 10902633.

Almost surely, 22300433408 is an apocalyptic number.

2300433408 is a gapful number since it is divisible by the number (28) 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 2300433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129601424).

2300433408 is an abundant number, since it is smaller than the sum of its proper divisors (5958769440).

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

2300433408 is a wasteful number, since it uses less digits than its factorization.

2300433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2300433408 is about 47962.8336110368. The cubic root of 2300433408 is about 1320.0890298078.

The spelling of 2300433408 in words is "two billion, three hundred million, four hundred thirty-three thousand, four hundred eight".