Search a number
-
+
34308720 = 24325172803
BaseRepresentation
bin1000001011100…
…0001001110000
32101120001201100
42002320021300
532240334340
63223204400
7564422265
oct202701160
971501640
1034308720
1118403716
12b5a6700
137153224
1447b126c
15302a830
hex20b8270

34308720 has 120 divisors (see below), whose sum is σ = 122041296. Its totient is φ = 8607744.

The previous prime is 34308719. The next prime is 34308733. The reversal of 34308720 is 2780343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10839 + ... + 13641.

Almost surely, 234308720 is an apocalyptic number.

34308720 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 34308720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020648).

34308720 is an abundant number, since it is smaller than the sum of its proper divisors (87732576).

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

34308720 is a wasteful number, since it uses less digits than its factorization.

34308720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34308720 is about 5857.3645951059. The cubic root of 34308720 is about 324.9387497986.

The spelling of 34308720 in words is "thirty-four million, three hundred eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 2803 3060 4080 5606 6120 8409 11212 12240 14015 16818 22424 25227 28030 33636 42045 44848 47651 50454 56060 67272 84090 95302 100908 112120 126135 134544 142953 168180 190604 201816 224240 238255 252270 285906 336360 381208 403632 428859 476510 504540 571812 672720 714765 762416 857718 953020 1009080 1143624 1429530 1715436 1906040 2018160 2144295 2287248 2859060 3430872 3812080 4288590 5718120 6861744 8577180 11436240 17154360 34308720