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3393915084 = 2232741932143
BaseRepresentation
bin1100101001001011…
…0000100011001100
322202112020202020200
43022102300203030
523422320240314
61320435213500
7150050542110
oct31222604314
98675222220
103393915084
11149185a6aa
127a8747290
134211a52a1
14242a65740
1514ce54709
hexca4b08cc

3393915084 has 72 divisors (see below), whose sum is σ = 9828349440. Its totient is φ = 967345632.

The previous prime is 3393915043. The next prime is 3393915089. The reversal of 3393915084 is 4805193933.

It is not an unprimeable number, because it can be changed into a prime (3393915089) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 89517 + ... + 121659.

Almost surely, 23393915084 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 3393915084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914174720).

3393915084 is an abundant number, since it is smaller than the sum of its proper divisors (6434434356).

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

3393915084 is a wasteful number, since it uses less digits than its factorization.

3393915084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32579 (or 32574 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3393915084 is about 58257.3178579309. The cubic root of 3393915084 is about 1502.7970158930.

It can be divided in two parts, 33939 and 15084, that multiplied together give a square (511935876 = 226262).

The spelling of 3393915084 in words is "three billion, three hundred ninety-three million, nine hundred fifteen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2514 2933 3771 5028 5866 7542 8799 11732 15084 17598 26397 32143 35196 52794 64286 96429 105588 128572 192858 225001 289287 385716 450002 578574 675003 900004 1157148 1350006 2025009 2700012 4050018 8100036 13467917 26935834 40403751 53871668 80807502 94275419 121211253 161615004 188550838 242422506 282826257 377101676 484845012 565652514 848478771 1131305028 1696957542 3393915084