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3136034214 = 2323144912517
BaseRepresentation
bin1011101011101100…
…0001010110100110
322002120000001012100
42322323001112212
522410311043324
61235104032530
7140466564615
oct27273012646
98076001170
103136034214
11136a233a15
12736302746
133ac933761
1421a6d787c
151354b54c9
hexbaec15a6

3136034214 has 48 divisors (see below), whose sum is σ = 7030108800. Its totient is φ = 1009290240.

The previous prime is 3136034207. The next prime is 3136034243. The reversal of 3136034214 is 4124306313.

3136034214 is a `hidden beast` number, since 3 + 1 + 3 + 603 + 42 + 14 = 666.

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, 244284 + ... + 256800.

It is an arithmetic number, because the mean of its divisors is an integer number (146460600).

Almost surely, 23136034214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3136034214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3515054400).

3136034214 is an abundant number, since it is smaller than the sum of its proper divisors (3894074586).

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

3136034214 is a wasteful number, since it uses less digits than its factorization.

3136034214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005 (or 13002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3136034214 is about 56000.3054813097. The cubic root of 3136034214 is about 1463.7276070972.

The spelling of 3136034214 in words is "three billion, one hundred thirty-six million, thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 449 558 898 1347 2694 4041 8082 12517 13919 25034 27838 37551 41757 75102 83514 112653 125271 225306 250542 388027 776054 1164081 2328162 3492243 5620133 6984486 11240266 16860399 33720798 50581197 101162394 174224123 348448246 522672369 1045344738 1568017107 3136034214