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301299664 = 2431661919
BaseRepresentation
bin10001111101010…
…111011111010000
3202222221121102211
4101331113133100
51104113042124
645521521504
710316001451
oct2175273720
9688847384
10301299664
11145091996
1284aa3294
134a564533
142c031128
151b6b8e94
hex11f577d0

301299664 has 40 divisors (see below), whose sum is σ = 604167680. Its totient is φ = 145411200.

The previous prime is 301299641. The next prime is 301299683. The reversal of 301299664 is 466992103.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 327397 + ... + 328315.

It is an arithmetic number, because the mean of its divisors is an integer number (15104192).

Almost surely, 2301299664 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 301299664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302083840).

301299664 is an abundant number, since it is smaller than the sum of its proper divisors (302868016).

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

301299664 is a wasteful number, since it uses less digits than its factorization.

301299664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 301299664 is about 17357.9855974131. The cubic root of 301299664 is about 670.3982662202.

It can be divided in two parts, 30129 and 9664, that added together give a palindrome (39793).

The spelling of 301299664 in words is "three hundred one million, two hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 661 919 1322 1838 2644 3676 5288 7352 10576 14704 20491 28489 40982 56978 81964 113956 163928 227912 327856 455824 607459 1214918 2429836 4859672 9719344 18831229 37662458 75324916 150649832 301299664