Search a number
-
+
3071426880 = 26355475849
BaseRepresentation
bin1011011100010010…
…0100000101000000
321221001102122121010
42313010210011000
522242241130010
61224435200520
7136053461214
oct26704440500
97831378533
103071426880
111336816525
12718746140
1339c432672
14211cba944
1512e9a2620
hexb7124140

3071426880 has 112 divisors (see below), whose sum is σ = 9771278400. Its totient is φ = 817410048.

The previous prime is 3071426863. The next prime is 3071426887. The reversal of 3071426880 is 886241703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3071426887) 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, 522196 + ... + 528044.

Almost surely, 23071426880 is an apocalyptic number.

3071426880 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 3071426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885639200).

3071426880 is an abundant number, since it is smaller than the sum of its proper divisors (6699851520).

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

3071426880 is a wasteful number, since it uses less digits than its factorization.

3071426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3071426880 is about 55420.4554293809. The cubic root of 3071426880 is about 1453.6060668938.

The spelling of 3071426880 in words is "three billion, seventy-one million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 547 960 1094 1641 2188 2735 3282 4376 5470 5849 6564 8205 8752 10940 11698 13128 16410 17504 17547 21880 23396 26256 29245 32820 35008 35094 43760 46792 52512 58490 65640 70188 87520 87735 93584 105024 116980 131280 140376 175040 175470 187168 233960 262560 280752 350940 374336 467920 525120 561504 701880 935840 1123008 1403760 1871680 2807520 3199403 5615040 6398806 9598209 12797612 15997015 19196418 25595224 31994030 38392836 47991045 51190448 63988060 76785672 95982090 102380896 127976120 153571344 191964180 204761792 255952240 307142688 383928360 511904480 614285376 767856720 1023808960 1535713440 3071426880