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3113530740 = 2232554131973
BaseRepresentation
bin1011100110010100…
…1011010101110100
322000222122202020100
42321211023111310
522334030440430
61232541434100
7140104401045
oct27145132564
98028582210
103113530740
111358563801
1272a86b930
133a80849a8
1421771a8cc
1513351c960
hexb994b574

3113530740 has 72 divisors (see below), whose sum is σ = 9462129768. Its totient is φ = 828714240.

The previous prime is 3113530733. The next prime is 3113530757. The reversal of 3113530740 is 470353113.

3113530740 is a `hidden beast` number, since 311 + 3 + 5 + 307 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 899640036 + 2213890704 = 29994^2 + 47052^2 .

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 23 ways as a sum of consecutive naturals, for example, 81394 + ... + 113366.

It is an arithmetic number, because the mean of its divisors is an integer number (131418469).

Almost surely, 23113530740 is an apocalyptic number.

3113530740 is a gapful number since it is divisible by the number (30) 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 3113530740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731064884).

3113530740 is an abundant number, since it is smaller than the sum of its proper divisors (6348599028).

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

3113530740 is a wasteful number, since it uses less digits than its factorization.

3113530740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32529 (or 32524 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3113530740 is about 55799.0209591530. The cubic root of 3113530740 is about 1460.2180727615.

Adding to 3113530740 its reverse (470353113), we get a palindrome (3583883853).

The spelling of 3113530740 in words is "three billion, one hundred thirteen million, five hundred thirty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 541 1082 1623 2164 2705 3246 4869 5410 6492 8115 9738 10820 16230 19476 24345 31973 32460 48690 63946 95919 97380 127892 159865 191838 287757 319730 383676 479595 575514 639460 959190 1151028 1438785 1918380 2877570 5755140 17297393 34594786 51892179 69189572 86486965 103784358 155676537 172973930 207568716 259460895 311353074 345947860 518921790 622706148 778382685 1037843580 1556765370 3113530740