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34069680 = 2433515773
BaseRepresentation
bin1000000111110…
…1110010110000
32101002220211000
42001331302300
532210212210
63214122000
7562405341
oct201756260
971086730
1034069680
1118260067
12b4b0300
13709b498
14474c0c8
152eceac0
hex207dcb0

34069680 has 80 divisors (see below), whose sum is σ = 117358560. Its totient is φ = 9084672.

The previous prime is 34069667. The next prime is 34069687. The reversal of 34069680 is 8696043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34069687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5727 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (1466982).

Almost surely, 234069680 is an apocalyptic number.

34069680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34069680 is an abundant number, since it is smaller than the sum of its proper divisors (83288880).

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

34069680 is a wasteful number, since it uses less digits than its factorization.

34069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15783 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34069680 is about 5836.9238473703. The cubic root of 34069680 is about 324.1823390659.

The spelling of 34069680 in words is "thirty-four million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 15773 31546 47319 63092 78865 94638 126184 141957 157730 189276 236595 252368 283914 315460 378552 425871 473190 567828 630920 709785 757104 851742 946380 1135656 1261840 1419570 1703484 1892760 2129355 2271312 2839140 3406968 3785520 4258710 5678280 6813936 8517420 11356560 17034840 34069680