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3345065152 = 2611133171153
BaseRepresentation
bin1100011101100001…
…1010010011000000
322122010022220201221
43013120122103000
523322314041102
61311532204424
7145615404352
oct30730322300
98563286657
103345065152
111467224a60
12794309714
134140304c0
1423a38b0d2
15148a05637
hexc761a4c0

3345065152 has 112 divisors (see below), whose sum is σ = 7829714592. Its totient is φ = 1397882880.

The previous prime is 3345065111. The next prime is 3345065167. The reversal of 3345065152 is 2515605433.

It is a super-2 number, since 2×33450651522 = 22378921742249566208, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2900608 + ... + 2901760.

It is an arithmetic number, because the mean of its divisors is an integer number (69908166).

Almost surely, 23345065152 is an apocalyptic number.

3345065152 is a gapful number since it is divisible by the number (32) 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 3345065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914857296).

3345065152 is an abundant number, since it is smaller than the sum of its proper divisors (4484649440).

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

3345065152 is a wasteful number, since it uses less digits than its factorization.

3345065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The square root of 3345065152 is about 57836.5382089903. The cubic root of 3345065152 is about 1495.5520311227.

The spelling of 3345065152 in words is "three billion, three hundred forty-five million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 317 352 416 572 634 704 832 1144 1153 1268 2288 2306 2536 3487 4121 4576 4612 5072 6974 8242 9152 9224 10144 12683 13948 14989 16484 18448 20288 25366 27896 29978 32968 36896 45331 50732 55792 59956 65936 73792 90662 101464 111584 119912 131872 164879 181324 202928 223168 239824 263744 329758 362648 365501 405856 479648 659516 725296 731002 811712 959296 1319032 1450592 1462004 2638064 2901184 2924008 4020511 4751513 5276128 5848016 8041022 9503026 10552256 11696032 16082044 19006052 23392064 32164088 38012104 52266643 64328176 76024208 104533286 128656352 152048416 209066572 257312704 304096832 418133144 836266288 1672532576 3345065152