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3344403408 = 2431910335603
BaseRepresentation
bin1100011101010111…
…1000101111010000
322122002002021222220
43013111320233100
523322131402113
61311510101040
7145606650153
oct30725705720
98562067886
103344403408
111466912865
1279404a780
13413b5b238
1423a257c9a
15148924523
hexc7578bd0

3344403408 has 80 divisors (see below), whose sum is σ = 9182983680. Its totient is φ = 1045844352.

The previous prime is 3344403373. The next prime is 3344403431. The reversal of 3344403408 is 8043044433.

It is a super-2 number, since 2×33444034082 = 22370068310884028928, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 76135 + ... + 111737.

It is an arithmetic number, because the mean of its divisors is an integer number (114787296).

Almost surely, 23344403408 is an apocalyptic number.

3344403408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591491840).

3344403408 is an abundant number, since it is smaller than the sum of its proper divisors (5838580272).

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

3344403408 is a wasteful number, since it uses less digits than its factorization.

3344403408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35736 (or 35730 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The square root of 3344403408 is about 57830.8171133696. The cubic root of 3344403408 is about 1495.4534044586.

The spelling of 3344403408 in words is "three billion, three hundred forty-four million, four hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 103 114 152 206 228 304 309 412 456 618 824 912 1236 1648 1957 2472 3914 4944 5871 7828 11742 15656 23484 31312 35603 46968 71206 93936 106809 142412 213618 284824 427236 569648 676457 854472 1352914 1708944 2029371 2705828 3667109 4058742 5411656 7334218 8117484 10823312 11001327 14668436 16234968 22002654 29336872 32469936 44005308 58673744 69675071 88010616 139350142 176021232 209025213 278700284 418050426 557400568 836100852 1114801136 1672201704 3344403408