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10304533340 = 22517192277027
BaseRepresentation
bin10011001100011001…
…01011001101011100
3222121010210112022222
421212030223031130
5132100430031330
64422301524512
7513233042153
oct114614531534
928533715288
1010304533340
114408705462
121bb6b73738
13c82b1480a
146da79659a
154049b50e5
hex26632b35c

10304533340 has 96 divisors (see below), whose sum is σ = 24228046080. Its totient is φ = 3658466304.

The previous prime is 10304533307. The next prime is 10304533363. The reversal of 10304533340 is 4333540301.

It is a happy number.

10304533340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462907 + ... + 1469933.

It is an arithmetic number, because the mean of its divisors is an integer number (252375480).

Almost surely, 210304533340 is an apocalyptic number.

10304533340 is a gapful number since it is divisible by the number (10) 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 10304533340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12114023040).

10304533340 is an abundant number, since it is smaller than the sum of its proper divisors (13923512740).

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

10304533340 is a wasteful number, since it uses less digits than its factorization.

10304533340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

The spelling of 10304533340 in words is "ten billion, three hundred four million, five hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 227 323 340 380 454 646 908 1135 1292 1615 2270 3230 3859 4313 4540 6460 7027 7718 8626 14054 15436 17252 19295 21565 28108 35135 38590 43130 70270 73321 77180 86260 119459 133513 140540 146642 238918 267026 293284 366605 477836 534052 597295 667565 733210 1194590 1335130 1466420 1595129 2269721 2389180 2670260 3190258 4539442 6380516 7975645 9078884 11348605 15951290 22697210 27117193 30307451 31902580 45394420 54234386 60614902 108468772 121229804 135585965 151537255 271171930 303074510 515226667 542343860 606149020 1030453334 2060906668 2576133335 5152266670 10304533340