Search a number
-
+
330424526040 = 233571489264179
BaseRepresentation
bin1001100111011101101…
…01100010010011011000
31011120212212001002100220
410303232311202103120
520403202134313130
6411443412200040
732605141062420
oct4635665422330
91146785032326
10330424526040
11118150037aa4
1254056609020
132520b14183b
1411dc7ad7480
1588dd6e3410
hex4ceed624d8

330424526040 has 128 divisors (see below), whose sum is σ = 1133649216000. Its totient is φ = 75474597888.

The previous prime is 330424526039. The next prime is 330424526077. The reversal of 330424526040 is 40625424033.

330424526040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 330424525992 and 330424526010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118671 + ... + 1382849.

It is an arithmetic number, because the mean of its divisors is an integer number (8856634500).

Almost surely, 2330424526040 is an apocalyptic number.

330424526040 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 330424526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566824608000).

330424526040 is an abundant number, since it is smaller than the sum of its proper divisors (803224689960).

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

330424526040 is a wasteful number, since it uses less digits than its factorization.

330424526040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265689 (or 265685 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 330424526040 in words is "three hundred thirty billion, four hundred twenty-four million, five hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1489 2978 4467 5956 7445 8934 10423 11912 14890 17868 20846 22335 29780 31269 35736 41692 44670 52115 59560 62538 83384 89340 104230 125076 156345 178680 208460 250152 264179 312690 416920 528358 625380 792537 1056716 1250760 1320895 1585074 1849253 2113432 2641790 3170148 3698506 3962685 5283580 5547759 6340296 7397012 7925370 9246265 10567160 11095518 14794024 15850740 18492530 22191036 27738795 31701480 36985060 44382072 55477590 73970120 110955180 221910360 393362531 786725062 1180087593 1573450124 1966812655 2360175186 2753537717 3146900248 3933625310 4720350372 5507075434 5900437965 7867250620 8260613151 9440700744 11014150868 11800875930 13767688585 15734501240 16521226302 22028301736 23601751860 27535377170 33042452604 41303065755 47203503720 55070754340 66084905208 82606131510 110141508680 165212263020 330424526040