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333134130 = 23577122343
BaseRepresentation
bin10011110110110…
…011100100110010
3212012211222010010
4103312303210302
51140240243010
653020115350
711153410350
oct2366634462
9765758103
10333134130
1116105566a
1293695b56
135402c4b4
143235a7d0
151e3a6620
hex13db3932

333134130 has 64 divisors (see below), whose sum is σ = 926650368. Its totient is φ = 75069120.

The previous prime is 333134129. The next prime is 333134147. The reversal of 333134130 is 31431333.

It is a super-2 number, since 2×3331341302 = 221956697141713800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 333134097 and 333134106.

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, 3739 + ... + 26081.

It is an arithmetic number, because the mean of its divisors is an integer number (14478912).

Almost surely, 2333134130 is an apocalyptic number.

333134130 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 333134130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463325184).

333134130 is an abundant number, since it is smaller than the sum of its proper divisors (593516238).

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

333134130 is a wasteful number, since it uses less digits than its factorization.

333134130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22431.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 333134130 is about 18251.9623602505. The cubic root of 333134130 is about 693.2231269505.

Adding to 333134130 its reverse (31431333), we get a palindrome (364565463).

The spelling of 333134130 in words is "three hundred thirty-three million, one hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 14910 22343 44686 67029 111715 134058 156401 223430 312802 335145 469203 670290 782005 938406 1564010 1586353 2346015 3172706 4692030 4759059 7931765 9518118 11104471 15863530 22208942 23795295 33313413 47590590 55522355 66626826 111044710 166567065 333134130