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34309080 = 23325137331
BaseRepresentation
bin1000001011100…
…0001111011000
32101120002012200
42002320033120
532240342310
63223210200
7564423321
oct202701730
971502180
1034309080
1118403a13
12b5a6960
137153440
1447b1448
15302a9c0
hex20b83d8

34309080 has 96 divisors (see below), whose sum is σ = 120098160. Its totient is φ = 8444160.

The previous prime is 34309063. The next prime is 34309081. The reversal of 34309080 is 8090343.

It is a super-2 number, since 2×343090802 = 2354225940892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34309081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 8345.

Almost surely, 234309080 is an apocalyptic number.

34309080 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 34309080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60049080).

34309080 is an abundant number, since it is smaller than the sum of its proper divisors (85789080).

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

34309080 is a wasteful number, since it uses less digits than its factorization.

34309080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7361 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34309080 is about 5857.3953255692. The cubic root of 34309080 is about 324.9398863176.

The spelling of 34309080 in words is "thirty-four million, three hundred nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 7331 14662 21993 29324 36655 43986 58648 65979 73310 87972 95303 109965 131958 146620 175944 190606 219930 263916 285909 293240 329895 381212 439860 476515 527832 571818 659790 762424 857727 879720 953030 1143636 1319580 1429545 1715454 1906060 2287272 2639160 2859090 3430908 3812120 4288635 5718180 6861816 8577270 11436360 17154540 34309080