Search a number
-
+
23304464964 = 22361122572
BaseRepresentation
bin10101101101000011…
…011110101001000100
32020011010110111000000
4111231003132221010
5340211420334324
614412251321300
71453335453354
oct255503365104
966133414000
1023304464964
119979843500
124624750230
132275191351
1411b1104b64
15915e019c9
hex56d0dea44

23304464964 has 189 divisors, whose sum is σ = 67472875981. Its totient is φ = 7034480640.

The previous prime is 23304464947. The next prime is 23304464983. The reversal of 23304464964 is 46946440332.

It is a happy number.

The square root of 23304464964 is 152658.

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., 22943160900 + 361304064 = 151470^2 + 19008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 90678724 + ... + 90678980.

Almost surely, 223304464964 is an apocalyptic number.

23304464964 is the 152658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23304464964

23304464964 is an abundant number, since it is smaller than the sum of its proper divisors (44168411017).

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

23304464964 is an equidigital number, since it uses as much as digits as its factorization.

23304464964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 23304464964 in words is "twenty-three billion, three hundred four million, four hundred sixty-four thousand, nine hundred sixty-four".