Search a number
-
+
331026480 = 24335331463
BaseRepresentation
bin10011101110110…
…001000000110000
3212001212212222000
4103232301000300
51134220321410
652503014000
711126451531
oct2356610060
9761785860
10331026480
1115a946104
1292a3a300
1353772075
1431d6c688
151e0dbdc0
hex13bb1030

331026480 has 160 divisors (see below), whose sum is σ = 1146117120. Its totient is φ = 87816960.

The previous prime is 331026469. The next prime is 331026481. The reversal of 331026480 is 84620133.

It is a happy number.

331026480 is a `hidden beast` number, since 3 + 3 + 10 + 2 + 648 + 0 = 666.

It is a super-2 number, since 2×3310264802 = 219157060922380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331026481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714729 + ... + 715191.

It is an arithmetic number, because the mean of its divisors is an integer number (7163232).

Almost surely, 2331026480 is an apocalyptic number.

331026480 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 331026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573058560).

331026480 is an abundant number, since it is smaller than the sum of its proper divisors (815090640).

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

331026480 is a wasteful number, since it uses less digits than its factorization.

331026480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 331026480 is about 18194.1331203221. The cubic root of 331026480 is about 691.7580875595.

The spelling of 331026480 in words is "three hundred thirty-one million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 331 360 432 463 540 662 720 926 993 1080 1324 1389 1655 1852 1986 2160 2315 2648 2778 2979 3310 3704 3972 4167 4630 4965 5296 5556 5958 6620 6945 7408 7944 8334 8937 9260 9930 11112 11916 12501 13240 13890 14895 15888 16668 17874 18520 19860 20835 22224 23832 25002 26480 27780 29790 33336 35748 37040 39720 41670 44685 47664 50004 55560 59580 62505 66672 71496 79440 83340 89370 100008 111120 119160 125010 142992 153253 166680 178740 200016 238320 250020 306506 333360 357480 459759 500040 613012 714960 766265 919518 1000080 1226024 1379277 1532530 1839036 2298795 2452048 2758554 3065060 3678072 4137831 4597590 5517108 6130120 6896385 7356144 8275662 9195180 11034216 12260240 13792770 16551324 18390360 20689155 22068432 27585540 33102648 36780720 41378310 55171080 66205296 82756620 110342160 165513240 331026480