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3233400769 = 10125632
BaseRepresentation
bin1100000010111001…
…1100011111000001
322100100012210000001
43000232130133001
523110222311034
61252503000001
7143061311254
oct30056343701
98310183001
103233400769
11140a196945
12762a39001
133c6b646c1
1422960109b
1513dce9a14
hexc0b9c7c1

3233400769 has 9 divisors (see below), whose sum is σ = 3271542499. Its totient is φ = 3195700600.

The previous prime is 3233400761. The next prime is 3233400773. The reversal of 3233400769 is 9670043323.

The square root of 3233400769 is 56863.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3106613169 + 126787600 = 55737^2 + 11260^2 .

It is not a de Polignac number, because 3233400769 - 23 = 3233400761 is a prime.

It is a super-2 number, since 2×32334007692 = 20909761065939582722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3233400761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5742882 + ... + 5743444.

Almost surely, 23233400769 is an apocalyptic number.

3233400769 is the 56863-rd square number.

3233400769 is the 28432-nd centered octagonal number.

It is an amenable number.

3233400769 is a deficient number, since it is larger than the sum of its proper divisors (38141730).

3233400769 is an frugal number, since it uses more digits than its factorization.

3233400769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 37.

The cubic root of 3233400769 is about 1478.7219257463.

The spelling of 3233400769 in words is "three billion, two hundred thirty-three million, four hundred thousand, seven hundred sixty-nine".

Divisors: 1 101 563 10201 56863 316969 5743163 32013869 3233400769