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3300034140 = 22325134332797
BaseRepresentation
bin1100010010110010…
…1000011001011100
322111222121002210200
43010230220121130
523224302043030
61303243103500
7144530553534
oct30454503134
98458532720
103300034140
111443868547
12781211b90
134078c4a30
142343c84c4
15144aacd60
hexc4b2865c

3300034140 has 144 divisors (see below), whose sum is σ = 11031148128. Its totient is φ = 793400832.

The previous prime is 3300034121. The next prime is 3300034189. The reversal of 3300034140 is 414300033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84222 + ... + 117018.

Almost surely, 23300034140 is an apocalyptic number.

3300034140 is a gapful number since it is divisible by the number (30) 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 3300034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515574064).

3300034140 is an abundant number, since it is smaller than the sum of its proper divisors (7731113988).

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

3300034140 is a wasteful number, since it uses less digits than its factorization.

3300034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32868 (or 32863 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3300034140 is about 57445.9236151705. The cubic root of 3300034140 is about 1488.8106870595.

Adding to 3300034140 its reverse (414300033), we get a palindrome (3714334173).

The spelling of 3300034140 in words is "three billion, three hundred million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2580 2795 3354 3870 5031 5590 6708 7740 8385 10062 11180 16770 20124 25155 32797 33540 50310 65594 98391 100620 131188 163985 196782 295173 327970 393564 426361 491955 590346 655940 852722 983910 1180692 1279083 1410271 1475865 1705444 1967820 2131805 2558166 2820542 2951730 3837249 4230813 4263610 5116332 5641084 5903460 6395415 7051355 7674498 8461626 8527220 12692439 12790830 14102710 15348996 16923252 18333523 19186245 21154065 25384878 25581660 28205420 36667046 38372490 42308130 50769756 55000569 63462195 73334092 76744980 84616260 91667615 110001138 126924390 165001707 183335230 220002276 253848780 275002845 330003414 366670460 550005690 660006828 825008535 1100011380 1650017070 3300034140