Search a number
-
+
306728554944 = 26372324379127
BaseRepresentation
bin1000111011010100111…
…00100101000111000000
31002022201102220000220210
410131222130211013000
520011140002224234
6352524213234120
731106006461530
oct4355234450700
91068642800823
10306728554944
111090a0300209
124b542932940
1322c02b24076
1410bba9dd4c0
157ea3259be9
hex476a7251c0

306728554944 has 672 divisors, whose sum is σ = 1012584939520. Its totient is φ = 80204027904.

The previous prime is 306728554943. The next prime is 306728554991. The reversal of 306728554944 is 449455827603.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306728554943) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2415185409 + ... + 2415185535.

Almost surely, 2306728554944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306728554944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506292469760).

306728554944 is an abundant number, since it is smaller than the sum of its proper divisors (705856384576).

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

306728554944 is a wasteful number, since it uses less digits than its factorization.

306728554944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 306728554944 in words is "three hundred six billion, seven hundred twenty-eight million, five hundred fifty-four thousand, nine hundred forty-four".