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3420315126 = 233312043199
BaseRepresentation
bin1100101111011101…
…1101110111110110
322211100221000022000
43023313131313312
524001100041001
61323221120130
7150521125134
oct31367356766
98740830260
103420315126
1114a5751418
127b5559046
134267b9807
14246378754
1515041ba86
hexcbddddf6

3420315126 has 32 divisors (see below), whose sum is σ = 7845888000. Its totient is φ = 1103326920.

The previous prime is 3420315089. The next prime is 3420315127. The reversal of 3420315126 is 6215130243.

3420315126 is a `hidden beast` number, since 342 + 0 + 315 + 1 + 2 + 6 = 666.

It is a super-2 number, since 2×34203151262 = 23397111122288791752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3420315126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420315127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019926 + ... + 1023273.

It is an arithmetic number, because the mean of its divisors is an integer number (245184000).

Almost surely, 23420315126 is an apocalyptic number.

3420315126 is an abundant number, since it is smaller than the sum of its proper divisors (4425572874).

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

3420315126 is a wasteful number, since it uses less digits than its factorization.

3420315126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043241 (or 2043235 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3420315126 is about 58483.4602772442. The cubic root of 3420315126 is about 1506.6835280720.

Adding to 3420315126 its reverse (6215130243), we get a palindrome (9635445369).

The spelling of 3420315126 in words is "three billion, four hundred twenty million, three hundred fifteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2043199 4086398 6129597 12259194 18388791 36777582 55166373 63339169 110332746 126678338 190017507 380035014 570052521 1140105042 1710157563 3420315126