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3034134320 = 2457191911493
BaseRepresentation
bin1011010011011001…
…0011011100110000
321211110020222211012
42310312103130300
522203214244240
61221024010052
7135121500440
oct26466233460
97743228735
103034134320
111317765028
12708160928
133947a6269
1420ad70120
1512b587b65
hexb4d93730

3034134320 has 160 divisors (see below), whose sum is σ = 8536596480. Its totient is φ = 979706880.

The previous prime is 3034134319. The next prime is 3034134353. The reversal of 3034134320 is 234314303.

3034134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30341343203 (a number of 29 digits) contains 333 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, 2031494 + ... + 2032986.

It is an arithmetic number, because the mean of its divisors is an integer number (53353728).

Almost surely, 23034134320 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 3034134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268298240).

3034134320 is an abundant number, since it is smaller than the sum of its proper divisors (5502462160).

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

3034134320 is a wasteful number, since it uses less digits than its factorization.

3034134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3034134320 is about 55082.9766806406. The cubic root of 3034134320 is about 1447.6989774423.

Adding to 3034134320 its reverse (234314303), we get a palindrome (3268448623).

The spelling of 3034134320 in words is "three billion, thirty-four million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 191 266 280 304 380 382 532 560 665 760 764 955 1064 1330 1337 1493 1520 1528 1910 2128 2660 2674 2986 3056 3629 3820 5320 5348 5972 6685 7258 7465 7640 10451 10640 10696 11944 13370 14516 14930 15280 18145 20902 21392 23888 25403 26740 28367 29032 29860 36290 41804 50806 52255 53480 56734 58064 59720 72580 83608 101612 104510 106960 113468 119440 127015 141835 145160 167216 198569 203224 209020 226936 254030 283670 285163 290320 397138 406448 418040 453872 508060 567340 570326 794276 836080 992845 1016120 1134680 1140652 1425815 1588552 1985690 1996141 2032240 2269360 2281304 2851630 3177104 3971380 3992282 4562608 5418097 5703260 7942760 7984564 9980705 10836194 11406520 15885520 15969128 19961410 21672388 22813040 27090485 31938256 37926679 39922820 43344776 54180970 75853358 79845640 86689552 108361940 151706716 159691280 189633395 216723880 303413432 379266790 433447760 606826864 758533580 1517067160 3034134320