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3403211344 = 241347491709
BaseRepresentation
bin1100101011011000…
…1110001001010000
322210011202001022121
43022312032021100
523432210230334
61321410344024
7150222550651
oct31266161120
98704661277
103403211344
11149702a065
127ab88b014
134230ab730
14243da5528
1514db8ddb4
hexcad8e250

3403211344 has 80 divisors (see below), whose sum is σ = 7277034240. Its totient is φ = 1531998720.

The previous prime is 3403211327. The next prime is 3403211347. The reversal of 3403211344 is 4431123043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3403211347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4799662 + ... + 4800370.

It is an arithmetic number, because the mean of its divisors is an integer number (90962928).

Almost surely, 23403211344 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 3403211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638517120).

3403211344 is an abundant number, since it is smaller than the sum of its proper divisors (3873822896).

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

3403211344 is a wasteful number, since it uses less digits than its factorization.

3403211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3403211344 is about 58337.0494968678. The cubic root of 3403211344 is about 1504.1678669014.

Adding to 3403211344 its reverse (4431123043), we get a palindrome (7834334387).

The spelling of 3403211344 in words is "three billion, four hundred three million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 491 611 709 752 982 1222 1418 1964 2444 2836 3928 4888 5672 6383 7856 9217 9776 11344 12766 18434 23077 25532 33323 36868 46154 51064 66646 73736 92308 102128 133292 147472 184616 266584 300001 348119 369232 433199 533168 600002 696238 866398 1200004 1392476 1732796 2400008 2784952 3465592 4525547 4800016 5569904 6931184 9051094 16361593 18102188 32723186 36204376 65446372 72408752 130892744 212700709 261785488 425401418 850802836 1701605672 3403211344