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3384305008 = 2472322392
BaseRepresentation
bin1100100110111000…
…0110010101110000
322201212011111200221
43021232012111300
523412340230013
61315453222424
7146603055310
oct31156062560
98655144627
103384305008
111487396497
127a5491a14
1341c1bc056
14241683440
1514c1a708d
hexc9b86570

3384305008 has 90 divisors (see below), whose sum is σ = 7866716984. Its totient is φ = 1381550016.

The previous prime is 3384305003. The next prime is 3384305021. The reversal of 3384305008 is 8005034833.

It is a super-2 number, since 2×33843050082 = 22907040774347760128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384305003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14160153 + ... + 14160391.

Almost surely, 23384305008 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 3384305008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933358492).

3384305008 is an abundant number, since it is smaller than the sum of its proper divisors (4482411976).

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

3384305008 is an equidigital number, since it uses as much as digits as its factorization.

3384305008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 3384305008 is about 58174.7798276882. The cubic root of 3384305008 is about 1501.3772547629.

The spelling of 3384305008 in words is "three billion, three hundred eighty-four million, three hundred five thousand, eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 239 322 368 478 529 644 956 1058 1288 1673 1912 2116 2576 3346 3703 3824 4232 5497 6692 7406 8464 10994 13384 14812 21988 26768 29624 38479 43976 57121 59248 76958 87952 114242 126431 153916 228484 252862 307832 399847 456968 505724 615664 799694 885017 913936 1011448 1313783 1599388 1770034 2022896 2627566 3198776 3540068 5255132 6397552 7080136 9196481 10510264 14160272 18392962 21020528 30217009 36785924 60434018 73571848 120868036 147143696 211519063 241736072 423038126 483472144 846076252 1692152504 3384305008