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3344004272 = 24779457827
BaseRepresentation
bin1100011101010001…
…0111010010110000
322122001100000111002
43013110113102300
523322031114042
61311453341132
7145603365410
oct30724272260
98561300432
103344004272
11146666a9a4
12793a977a8
13413a4b66b
1423a192640
15148896132
hexc75174b0

3344004272 has 80 divisors (see below), whose sum is σ = 7523804160. Its totient is φ = 1410200064.

The previous prime is 3344004217. The next prime is 3344004289. The reversal of 3344004272 is 2724004433.

It is a super-2 number, since 2×33440042722 = 22364729142308499968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4043123 + ... + 4043949.

It is an arithmetic number, because the mean of its divisors is an integer number (94047552).

Almost surely, 23344004272 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 3344004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761902080).

3344004272 is an abundant number, since it is smaller than the sum of its proper divisors (4179799888).

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

3344004272 is a wasteful number, since it uses less digits than its factorization.

3344004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The square root of 3344004272 is about 57827.3661167444. The cubic root of 3344004272 is about 1495.3939107349.

The spelling of 3344004272 in words is "three billion, three hundred forty-four million, four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 457 553 632 827 914 1106 1264 1654 1828 2212 3199 3308 3656 4424 5789 6398 6616 7312 8848 11578 12796 13232 23156 25592 36103 46312 51184 65333 72206 92624 130666 144412 252721 261332 288824 377939 457331 505442 522664 577648 755878 914662 1010884 1045328 1511756 1829324 2021768 2645573 3023512 3658648 4043536 5291146 6047024 7317296 10582292 21164584 29857181 42329168 59714362 119428724 209000267 238857448 418000534 477714896 836001068 1672002136 3344004272