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304991296 = 26372592
BaseRepresentation
bin10010001011011…
…100110001000000
3210020220011101221
4102023130301000
51111034210141
650133004424
710362245311
oct2213346100
9706804357
10304991296
11147183525
1286183714
134b25792c
142c712608
151bb97bd1
hex122dcc40

304991296 has 63 divisors (see below), whose sum is σ = 632737749. Its totient is φ = 145859328.

The previous prime is 304991279. The next prime is 304991317. The reversal of 304991296 is 692199403.

The square root of 304991296 is 17464.

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

304991296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 272910400 + 32080896 = 16520^2 + 5664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5169315 + ... + 5169373.

Almost surely, 2304991296 is an apocalyptic number.

304991296 is the 17464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304991296

304991296 is an abundant number, since it is smaller than the sum of its proper divisors (327746453).

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

304991296 is an frugal number, since it uses more digits than its factorization.

304991296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The cubic root of 304991296 is about 673.1251464558.

Multiplying 304991296 by its product of nonzero digits (104976), we get a square (32016766288896 = 56583362).

The spelling of 304991296 in words is "three hundred four million, nine hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 59 64 74 118 148 236 296 472 592 944 1184 1369 1888 2183 2368 2738 3481 3776 4366 5476 6962 8732 10952 13924 17464 21904 27848 34928 43808 55696 69856 80771 87616 111392 128797 139712 161542 222784 257594 323084 515188 646168 1030376 1292336 2060752 2584672 4121504 4765489 5169344 8243008 9530978 19061956 38123912 76247824 152495648 304991296