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3349779152 = 24318975883
BaseRepresentation
bin1100011110101001…
…1001001011010000
322122110012102010112
43013222121023100
523330020413102
61312221220452
7146003436656
oct30752311320
98573172115
103349779152
111469954725
12795a01728
13414cc1055
1423ac56dd6
15149137252
hexc7a992d0

3349779152 has 40 divisors (see below), whose sum is σ = 6774923520. Its totient is φ = 1602627840.

The previous prime is 3349779109. The next prime is 3349779157. The reversal of 3349779152 is 2519779433.

It is a super-2 number, since 2×33497791522 = 22442040734347678208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3349779152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349779157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6203 + ... + 82085.

It is an arithmetic number, because the mean of its divisors is an integer number (169373088).

Almost surely, 23349779152 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 3349779152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387461760).

3349779152 is an abundant number, since it is smaller than the sum of its proper divisors (3425144368).

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

3349779152 is a wasteful number, since it uses less digits than its factorization.

3349779152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76011 (or 76005 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 50.

The square root of 3349779152 is about 57877.2766463661. The cubic root of 3349779152 is about 1496.2542320083.

The spelling of 3349779152 in words is "three billion, three hundred forty-nine million, seven hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 1424 2759 5518 11036 22072 44144 75883 151766 303532 607064 1214128 2352373 4704746 6753587 9409492 13507174 18818984 27014348 37637968 54028696 108057392 209361197 418722394 837444788 1674889576 3349779152