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3145035216 = 243412715897
BaseRepresentation
bin1011101101110101…
…0110110111010000
322010011221100020210
42323131112313100
522420112111331
61240025004120
7140636233611
oct27335266720
98104840223
103145035216
111374321564
12739323640
133b17656ab
1421b99bc08
15136192446
hexbb756dd0

3145035216 has 80 divisors (see below), whose sum is σ = 8354965248. Its totient is φ = 1018828800.

The previous prime is 3145035209. The next prime is 3145035217. The reversal of 3145035216 is 6125305413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145035217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530380 + ... + 536276.

Almost surely, 23145035216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145035216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177482624).

3145035216 is an abundant number, since it is smaller than the sum of its proper divisors (5209930032).

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

3145035216 is a wasteful number, since it uses less digits than its factorization.

3145035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3145035216 is about 56080.6135487122. The cubic root of 3145035216 is about 1465.1266596762.

It can be divided in two parts, 31450 and 35216, that added together give a palindrome (66666).

The spelling of 3145035216 in words is "three billion, one hundred forty-five million, thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 271 328 492 542 656 813 984 1084 1626 1968 2168 3252 4336 5897 6504 11111 11794 13008 17691 22222 23588 33333 35382 44444 47176 66666 70764 88888 94352 133332 141528 177776 241777 266664 283056 483554 533328 725331 967108 1450662 1598087 1934216 2901324 3196174 3868432 4794261 5802648 6392348 9588522 11605296 12784696 19177044 25569392 38354088 65521567 76708176 131043134 196564701 262086268 393129402 524172536 786258804 1048345072 1572517608 3145035216