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3345069192 = 2331759791759
BaseRepresentation
bin1100011101100001…
…1011010010001000
322122010100010021120
43013120123102020
523322314203232
61311532235240
7145615422213
oct30730332210
98563303246
103345069192
111467227aa3
1279430bb20
134140322aa
1423a38c77a
15148a0692c
hexc761b488

3345069192 has 128 divisors (see below), whose sum is σ = 9123840000. Its totient is φ = 1018008576.

The previous prime is 3345069179. The next prime is 3345069223. The reversal of 3345069192 is 2919605433.

It is a happy number.

It is a super-2 number, since 2×33450691922 = 22378975798535065728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1900809 + ... + 1902567.

It is an arithmetic number, because the mean of its divisors is an integer number (71280000).

Almost surely, 23345069192 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 3345069192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561920000).

3345069192 is an abundant number, since it is smaller than the sum of its proper divisors (5778770808).

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

3345069192 is a wasteful number, since it uses less digits than its factorization.

3345069192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 3345069192 is about 57836.5731349982. The cubic root of 3345069192 is about 1495.5526332064.

The spelling of 3345069192 in words is "three billion, three hundred forty-five million, sixty-nine thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 79 102 118 136 158 177 204 236 237 316 354 408 472 474 632 708 948 1003 1343 1416 1759 1896 2006 2686 3009 3518 4012 4029 4661 5277 5372 6018 7036 8024 8058 9322 10554 10744 12036 13983 14072 16116 18644 21108 24072 27966 29903 32232 37288 42216 55932 59806 79237 89709 103781 111864 119612 138961 158474 179418 207562 237711 239224 277922 311343 316948 358836 415124 416883 475422 555844 622686 633896 717672 830248 833766 950844 1111688 1245372 1667532 1764277 1901688 2362337 2490744 3335064 3528554 4724674 5292831 7057108 7087011 8198699 9449348 10585662 14114216 14174022 16397398 18898696 21171324 24596097 28348044 32794796 42342648 49192194 56696088 65589592 98384388 139377883 196768776 278755766 418133649 557511532 836267298 1115023064 1672534596 3345069192