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34538070 = 23571631009
BaseRepresentation
bin1000001111000…
…0001001010110
32101222201022210
42003300021112
532320204240
63232134250
7566366040
oct203601126
971881283
1034538070
111854aa66
12b697386
137203738
144830a90
153073780
hex20f0256

34538070 has 64 divisors (see below), whose sum is σ = 95408640. Its totient is φ = 7838208.

The previous prime is 34538047. The next prime is 34538081. The reversal of 34538070 is 7083543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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, 33726 + ... + 34734.

It is an arithmetic number, because the mean of its divisors is an integer number (1490760).

Almost surely, 234538070 is an apocalyptic number.

34538070 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 34538070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47704320).

34538070 is an abundant number, since it is smaller than the sum of its proper divisors (60870570).

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

34538070 is a wasteful number, since it uses less digits than its factorization.

34538070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 34538070 is about 5876.9099023211. The cubic root of 34538070 is about 325.6612022162.

The spelling of 34538070 in words is "thirty-four million, five hundred thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1009 1141 1630 2018 2282 2445 3027 3423 4890 5045 5705 6054 6846 7063 10090 11410 14126 15135 17115 21189 30270 34230 35315 42378 70630 105945 164467 211890 328934 493401 822335 986802 1151269 1644670 2302538 2467005 3453807 4934010 5756345 6907614 11512690 17269035 34538070