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2306027380 = 225232317989
BaseRepresentation
bin1000100101110011…
…0010111101110100
312221201012022212111
42021130302331310
514210320334010
61020454100404
7111100623616
oct21134627564
95851168774
102306027380
11a83768558
1254434a704
132a99a5757
1417c39adb6
15d76b258a
hex89732f74

2306027380 has 144 divisors (see below), whose sum is σ = 5351270400. Its totient is φ = 833564160.

The previous prime is 2306027377. The next prime is 2306027393. The reversal of 2306027380 is 837206032.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 47 ways as a sum of consecutive naturals, for example, 25910376 + ... + 25910464.

It is an arithmetic number, because the mean of its divisors is an integer number (37161600).

Almost surely, 22306027380 is an apocalyptic number.

2306027380 is a gapful number since it is divisible by the number (20) 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 2306027380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675635200).

2306027380 is an abundant number, since it is smaller than the sum of its proper divisors (3045243020).

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

2306027380 is a wasteful number, since it uses less digits than its factorization.

2306027380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2306027380 is about 48021.1138979512. The cubic root of 2306027380 is about 1321.1581853629.

The spelling of 2306027380 in words is "two billion, three hundred six million, twenty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 31 46 62 79 89 92 115 124 155 158 178 230 310 316 356 395 445 460 529 620 713 790 890 1058 1426 1580 1780 1817 2047 2116 2449 2645 2759 2852 3565 3634 4094 4898 5290 5518 7031 7130 7268 8188 9085 9796 10235 10580 11036 12245 13795 14062 14260 16399 18170 20470 24490 27590 28124 32798 35155 36340 40940 41791 47081 48980 55180 56327 63457 65596 70310 81995 83582 94162 112654 126914 140620 161713 163990 167164 188324 208955 217961 225308 235405 253828 281635 317285 323426 327980 417910 435922 470810 563270 634570 646852 808565 835820 871844 941620 1089805 1126540 1269140 1295521 1459511 1617130 2179610 2591042 2919022 3234260 3719399 4359220 5013103 5182084 5838044 6477605 7297555 7438798 10026206 12955210 14595110 14877596 18596995 20052412 25065515 25910420 29190220 37193990 50131030 74387980 100262060 115301369 230602738 461205476 576506845 1153013690 2306027380