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2934018816 = 2837515087
BaseRepresentation
bin1010111011100001…
…1001001100000000
321120110212121011120
42232320121030000
522002102100231
61203050112240
7132464514501
oct25670311400
97513777146
102934018816
1112761a4843
1269a71b680
13379b22011
141db94cba8
151228add96
hexaee19300

2934018816 has 72 divisors (see below), whose sum is σ = 7820703744. Its totient is φ = 976512000.

The previous prime is 2934018793. The next prime is 2934018833. The reversal of 2934018816 is 6188104392.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574225 + ... + 579311.

Almost surely, 22934018816 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 2934018816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910351872).

2934018816 is an abundant number, since it is smaller than the sum of its proper divisors (4886684928).

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

2934018816 is an equidigital number, since it uses as much as digits as its factorization.

2934018816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 2934018816 is about 54166.5839425009. The cubic root of 2934018816 is about 1431.5976106897.

The spelling of 2934018816 in words is "two billion, nine hundred thirty-four million, eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 751 768 1502 2253 3004 4506 5087 6008 9012 10174 12016 15261 18024 20348 24032 30522 36048 40696 48064 61044 72096 81392 96128 122088 144192 162784 192256 244176 288384 325568 488352 576768 651136 976704 1302272 1953408 3820337 3906816 7640674 11461011 15281348 22922022 30562696 45844044 61125392 91688088 122250784 183376176 244501568 366752352 489003136 733504704 978006272 1467009408 2934018816