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3345351030 = 23457312041
BaseRepresentation
bin1100011101100110…
…0000000101110110
322122010212102220000
43013121200011312
523322402213110
61311542252130
7145621005000
oct30731400566
98563772800
103345351030
1114673aa81a
12794427046
13414100668
1423a423370
15148a601c0
hexc7660176

3345351030 has 160 divisors (see below), whose sum is σ = 10490990400. Its totient is φ = 764588160.

The previous prime is 3345351029. The next prime is 3345351047. The reversal of 3345351030 is 301535433.

It is a happy number.

It is a super-2 number, since 2×33453510302 = 22382747027844121800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3345350985 and 3345351003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271810 + ... + 283850.

It is an arithmetic number, because the mean of its divisors is an integer number (65568690).

Almost surely, 23345351030 is an apocalyptic number.

3345351030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345351030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245495200).

3345351030 is an abundant number, since it is smaller than the sum of its proper divisors (7145639370).

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

3345351030 is a wasteful number, since it uses less digits than its factorization.

3345351030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12081 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 3345351030 is about 57839.0095869561. The cubic root of 3345351030 is about 1495.5946345026.

Adding to 3345351030 its reverse (301535433), we get a palindrome (3646886463).

The spelling of 3345351030 in words is "three billion, three hundred forty-five million, three hundred fifty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 343 378 405 441 490 567 630 686 735 810 882 945 1029 1134 1323 1470 1715 1890 2058 2205 2646 2835 3087 3430 3969 4410 5145 5670 6174 6615 7938 9261 10290 12041 13230 15435 18522 19845 24082 27783 30870 36123 39690 46305 55566 60205 72246 84287 92610 108369 120410 138915 168574 180615 216738 252861 277830 325107 361230 421435 505722 541845 590009 650214 758583 842870 975321 1083690 1180018 1264305 1517166 1625535 1770027 1950642 2275749 2528610 2950045 3251070 3540054 3792915 4130063 4551498 4876605 5310081 5900090 6827247 7585830 8260126 8850135 9753210 10620162 11378745 12390189 13654494 15930243 17700270 20650315 22757490 24780378 26550405 31860486 34136235 37170567 41300630 47790729 53100810 61950945 68272470 74341134 79651215 95581458 111511701 123901890 159302430 185852835 223023402 238953645 334535103 371705670 477907290 557558505 669070206 1115117010 1672675515 3345351030