Search a number
-
+
3300010400 = 25524125013
BaseRepresentation
bin1100010010110010…
…0010100110100000
322111222112220020102
43010230202212200
523224300313100
61303242401532
7144530424401
oct30454424640
98458486212
103300010400
111443851725
127812002a8
134078b6c9b
142343bd9a8
15144aa5cd5
hexc4b229a0

3300010400 has 36 divisors (see below), whose sum is σ = 8056152342. Its totient is φ = 1320003840.

The previous prime is 3300010397. The next prime is 3300010411. The reversal of 3300010400 is 40100033.

It can be written as a sum of positive squares in 3 ways, for example, as 1602240784 + 1697769616 = 40028^2 + 41204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2061707 + ... + 2063306.

Almost surely, 23300010400 is an apocalyptic number.

It is an amenable number.

3300010400 is an abundant number, since it is smaller than the sum of its proper divisors (4756141942).

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

3300010400 is a wasteful number, since it uses less digits than its factorization.

3300010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125033 (or 4125020 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 3300010400 is about 57445.7169856901. The cubic root of 3300010400 is about 1488.8071169499.

Adding to 3300010400 its reverse (40100033), we get a palindrome (3340110433).

The spelling of 3300010400 in words is "three billion, three hundred million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4125013 8250026 16500052 20625065 33000104 41250130 66000208 82500260 103125325 132000416 165000520 206250650 330001040 412501300 660002080 825002600 1650005200 3300010400