[go: up one dir, main page]

Search a number
-
+
34246680 = 23351329757
BaseRepresentation
bin1000001010100…
…1000000011000
32101102220121120
42002221000120
532231343210
63222005240
7564043356
oct202510030
971386546
1034246680
1118371046
12b576820
137130c10
1447967d6
153017270
hex20a9018

34246680 has 128 divisors (see below), whose sum is σ = 114609600. Its totient is φ = 8128512.

The previous prime is 34246673. The next prime is 34246697. The reversal of 34246680 is 8664243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44862 + ... + 45618.

Almost surely, 234246680 is an apocalyptic number.

34246680 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 34246680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57304800).

34246680 is an abundant number, since it is smaller than the sum of its proper divisors (80362920).

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

34246680 is a wasteful number, since it uses less digits than its factorization.

34246680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 34246680 is about 5852.0663017433. The cubic root of 34246680 is about 324.7427708224.

The spelling of 34246680 in words is "thirty-four million, two hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 757 780 870 1131 1160 1508 1514 1560 1740 1885 2262 2271 3016 3028 3480 3770 3785 4524 4542 5655 6056 7540 7570 9048 9084 9841 11310 11355 15080 15140 18168 19682 21953 22620 22710 29523 30280 39364 43906 45240 45420 49205 59046 65859 78728 87812 90840 98410 109765 118092 131718 147615 175624 196820 219530 236184 263436 285389 295230 329295 393640 439060 526872 570778 590460 658590 856167 878120 1141556 1180920 1317180 1426945 1712334 2283112 2634360 2853890 3424668 4280835 5707780 6849336 8561670 11415560 17123340 34246680