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2305134440 = 235721176089
BaseRepresentation
bin1000100101100101…
…1000111101101000
312221122111221222122
42021121120331220
514210103300230
61020423010412
7111060214400
oct21131307550
95848457878
102305134440
11a83208694
12543b99a08
132a975219b
1417c207800
15d7587be5
hex89658f68

2305134440 has 48 divisors (see below), whose sum is σ = 6033341700. Its totient is φ = 790331136.

The previous prime is 2305134383. The next prime is 2305134479. The reversal of 2305134440 is 444315032.

It can be written as a sum of positive squares in 2 ways, for example, as 2003278564 + 301855876 = 44758^2 + 17374^2 .

It is a super-2 number, since 2×23051344402 = 10627289572948227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586085 + ... + 590004.

Almost surely, 22305134440 is an apocalyptic number.

2305134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2305134440 is an abundant number, since it is smaller than the sum of its proper divisors (3728207260).

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

2305134440 is a wasteful number, since it uses less digits than its factorization.

2305134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176114 (or 1176103 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2305134440 is about 48011.8156290720. The cubic root of 2305134440 is about 1320.9876370420.

Adding to 2305134440 its reverse (444315032), we get a palindrome (2749449472).

The spelling of 2305134440 in words is "two billion, three hundred five million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1176089 2352178 4704356 5880445 8232623 9408712 11760890 16465246 23521780 32930492 41163115 47043560 57628361 65860984 82326230 115256722 164652460 230513444 288141805 329304920 461026888 576283610 1152567220 2305134440