Search a number
-
+
3280115328 = 27371398779
BaseRepresentation
bin1100001110000010…
…1001011010000000
322110121010010022220
43003200221122000
523204202142303
61301252131040
7144166343310
oct30340513200
98417103286
103280115328
1114335a3216
12776606a80
1340373c559
142318c1440
15142e76053
hexc3829680

3280115328 has 128 divisors (see below), whose sum is σ = 10030272000. Its totient is φ = 930327552.

The previous prime is 3280115323. The next prime is 3280115329. The reversal of 3280115328 is 8235110823.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3280115323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369243 + ... + 378021.

It is an arithmetic number, because the mean of its divisors is an integer number (78361500).

Almost surely, 23280115328 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 3280115328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015136000).

3280115328 is an abundant number, since it is smaller than the sum of its proper divisors (6750156672).

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

3280115328 is a wasteful number, since it uses less digits than its factorization.

3280115328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 3280115328 is about 57272.2911013694. The cubic root of 3280115328 is about 1485.8091820479.

The spelling of 3280115328 in words is "three billion, two hundred eighty million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 139 168 192 224 278 336 384 417 448 556 672 834 896 973 1112 1344 1668 1946 2224 2688 2919 3336 3892 4448 5838 6672 7784 8779 8896 11676 13344 15568 17558 17792 23352 26337 26688 31136 35116 46704 52674 53376 61453 62272 70232 93408 105348 122906 124544 140464 184359 186816 210696 245812 280928 368718 373632 421392 491624 561856 737436 842784 983248 1123712 1220281 1474872 1685568 1966496 2440562 2949744 3371136 3660843 3932992 4881124 5899488 7321686 7865984 8541967 9762248 11798976 14643372 17083934 19524496 23597952 25625901 29286744 34167868 39048992 51251802 58573488 68335736 78097984 102503604 117146976 136671472 156195968 205007208 234293952 273342944 410014416 468587904 546685888 820028832 1093371776 1640057664 3280115328