Search a number
-
+
3203404380 = 223251129471187
BaseRepresentation
bin1011111011110000…
…0001001001011100
322021020202210200200
42332330001021130
523030032420010
61245512023500
7142245326241
oct27674011134
98236683620
103203404380
1113a4269140
12754991b90
133c0891267
142256335c8
1513b371cc0
hexbef0125c

3203404380 has 288 divisors, whose sum is σ = 11208637440. Its totient is φ = 733232640.

The previous prime is 3203404349. The next prime is 3203404381. The reversal of 3203404380 is 834043023.

3203404380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3203404381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2698147 + ... + 2699333.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 23203404380 is an apocalyptic number.

3203404380 is a gapful number since it is divisible by the number (30) 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 3203404380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604318720).

3203404380 is an abundant number, since it is smaller than the sum of its proper divisors (8005233060).

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

3203404380 is a wasteful number, since it uses less digits than its factorization.

3203404380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1284 counting only the distinct ones).

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

The square root of 3203404380 is about 56598.6252483221. The cubic root of 3203404380 is about 1474.1349910460.

The spelling of 3203404380 in words is "three billion, two hundred three million, four hundred four thousand, three hundred eighty".