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2940536916 = 2232269303649
BaseRepresentation
bin1010111101000101…
…0000100001010100
321120221010202022200
42233101100201110
522010234140131
61203441524500
7132604102632
oct25721204124
97527122280
102940536916
1112799469a9
126a0943730
1337b294a95
141dc768352
1512324a2e6
hexaf450854

2940536916 has 36 divisors (see below), whose sum is σ = 7460680500. Its totient is φ = 976531968.

The previous prime is 2940536909. The next prime is 2940536917. The reversal of 2940536916 is 6196350492.

2940536916 is a `hidden beast` number, since 29 + 4 + 0 + 536 + 91 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1143116100 + 1797420816 = 33810^2 + 42396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2940536917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142141 + ... + 161508.

It is an arithmetic number, because the mean of its divisors is an integer number (207241125).

Almost surely, 22940536916 is an apocalyptic number.

It is an amenable number.

2940536916 is an abundant number, since it is smaller than the sum of its proper divisors (4520143584).

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

2940536916 is a wasteful number, since it uses less digits than its factorization.

2940536916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303928 (or 303923 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2940536916 is about 54226.7177321291. The cubic root of 2940536916 is about 1432.6569534631.

The spelling of 2940536916 in words is "two billion, nine hundred forty million, five hundred thirty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 303649 607298 910947 1214596 1821894 2732841 3643788 5465682 10931364 81681581 163363162 245044743 326726324 490089486 735134229 980178972 1470268458 2940536916