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3145434112 = 210171011789
BaseRepresentation
bin1011101101111011…
…1000010000000000
322010012200121102201
42323132320100000
522420212342422
61240041322544
7140642514562
oct27336702000
98105617381
103145434112
111374574227
12739496454
133b1875122
1421ba63332
15136220727
hexbb7b8400

3145434112 has 88 divisors (see below), whose sum is σ = 6727342680. Its totient is φ = 1464729600.

The previous prime is 3145434077. The next prime is 3145434113. The reversal of 3145434112 is 2114345413.

It can be written as a sum of positive squares in 4 ways, for example, as 2517630976 + 627803136 = 50176^2 + 25056^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145434113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1757314 + ... + 1759102.

Almost surely, 23145434112 is an apocalyptic number.

3145434112 is a gapful number since it is divisible by the number (32) 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 3145434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363671340).

3145434112 is an abundant number, since it is smaller than the sum of its proper divisors (3581908568).

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

3145434112 is a wasteful number, since it uses less digits than its factorization.

3145434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1909 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 3145434112 is about 56084.1698877678. The cubic root of 3145434112 is about 1465.1885994656.

Adding to 3145434112 its reverse (2114345413), we get a palindrome (5259779525).

The spelling of 3145434112 in words is "three billion, one hundred forty-five million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 256 272 404 512 544 808 1024 1088 1616 1717 1789 2176 3232 3434 3578 4352 6464 6868 7156 8704 12928 13736 14312 17408 25856 27472 28624 30413 51712 54944 57248 60826 103424 109888 114496 121652 180689 219776 228992 243304 361378 439552 457984 486608 722756 879104 915968 973216 1445512 1758208 1831936 1946432 2891024 3071713 3892864 5782048 6143426 7785728 11564096 12286852 15571456 23128192 24573704 31142912 46256384 49147408 92512768 98294816 185025536 196589632 393179264 786358528 1572717056 3145434112