Search a number
-
+
3480146928270 = 2325536731084087
BaseRepresentation
bin110010101001001000111…
…010111110001010001110
3110022200212102102110010200
4302221020322332022032
5424004320103201040
611222431334314330
7506301166544025
oct62511072761216
913280772373120
103480146928270
111121a16239581
124825861b89a6
131c323a867a4c
14c062355d8bc
15607d7480630
hex32a48ebe28e

3480146928270 has 96 divisors (see below), whose sum is σ = 9232813242432. Its totient is φ = 909175228416.

The previous prime is 3480146928211. The next prime is 3480146928283. The reversal of 3480146928270 is 728296410843.

3480146928270 is a `hidden beast` number, since 3 + 480 + 1 + 4 + 6 + 92 + 8 + 2 + 70 = 666.

3480146928270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34801469282702 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668167 + ... + 3752253.

It is an arithmetic number, because the mean of its divisors is an integer number (96175137942).

Almost surely, 23480146928270 is an apocalyptic number.

3480146928270 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3480146928270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616406621216).

3480146928270 is an abundant number, since it is smaller than the sum of its proper divisors (5752666314162).

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

3480146928270 is a wasteful number, since it uses less digits than its factorization.

3480146928270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084826 (or 1084823 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3480146928270 in words is "three trillion, four hundred eighty billion, one hundred forty-six million, nine hundred twenty-eight thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 673 795 954 1346 1590 2019 2385 3365 4038 4770 6057 6730 10095 12114 20190 30285 35669 60570 71338 107007 178345 214014 321021 356690 535035 642042 1070070 1084087 1605105 2168174 3210210 3252261 5420435 6504522 9756783 10840870 16261305 19513566 32522610 48783915 57456611 97567830 114913222 172369833 287283055 344739666 517109499 574566110 729590551 861849165 1034218998 1459181102 1723698330 2188771653 2585547495 3647952755 4377543306 5171094990 6566314959 7295905510 10943858265 13132629918 21887716530 32831574795 38668299203 65663149590 77336598406 116004897609 193341496015 232009795218 348014692827 386682992030 580024488045 696029385654 1160048976090 1740073464135 3480146928270