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34678720 = 265307353
BaseRepresentation
bin1000010001001…
…0011111000000
32102020212021001
42010102133000
532334204340
63235141344
7600523066
oct204223700
972225231
1034678720
11186366aa
12b744854
13725276b
14486a036
1530a029a
hex21127c0

34678720 has 56 divisors (see below), whose sum is σ = 83082384. Its totient is φ = 13787136.

The previous prime is 34678711. The next prime is 34678727. The reversal of 34678720 is 2787643.

It is a super-2 number, since 2×346787202 = 2405227241676800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34678720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34678727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98064 + ... + 98416.

It is an arithmetic number, because the mean of its divisors is an integer number (1483614).

Almost surely, 234678720 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 34678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41541192).

34678720 is an abundant number, since it is smaller than the sum of its proper divisors (48403664).

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

34678720 is a wasteful number, since it uses less digits than its factorization.

34678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 34678720 is about 5888.8640670336. The cubic root of 34678720 is about 326.1026688055.

The spelling of 34678720 in words is "thirty-four million, six hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 307 320 353 614 706 1228 1412 1535 1765 2456 2824 3070 3530 4912 5648 6140 7060 9824 11296 12280 14120 19648 22592 24560 28240 49120 56480 98240 108371 112960 216742 433484 541855 866968 1083710 1733936 2167420 3467872 4334840 6935744 8669680 17339360 34678720