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3134365104 = 2431314533457
BaseRepresentation
bin1011101011010010…
…1001110110110000
322002102212020121110
42322310221312300
522404344140404
61235004153320
7140446443453
oct27264516660
98072766543
103134365104
1113692a3992
12735838840
133ac49ab10
1421a3c149a
15135285b89
hexbad29db0

3134365104 has 80 divisors (see below), whose sum is σ = 8728489952. Its totient is φ = 963477504.

The previous prime is 3134365103. The next prime is 3134365109. The reversal of 3134365104 is 4015634313.

It is not an unprimeable number, because it can be changed into a prime (3134365103) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 904944 + ... + 908400.

Almost surely, 23134365104 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 3134365104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364244976).

3134365104 is an abundant number, since it is smaller than the sum of its proper divisors (5594124848).

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

3134365104 is a wasteful number, since it uses less digits than its factorization.

3134365104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3134365104 is about 55985.4008112829. The cubic root of 3134365104 is about 1463.4678782181.

Adding to 3134365104 its reverse (4015634313), we get a palindrome (7149999417).

The spelling of 3134365104 in words is "three billion, one hundred thirty-four million, three hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1453 2906 3457 4359 5812 6914 8718 10371 11624 13828 17436 18889 20742 23248 27656 34872 37778 41484 44941 55312 56667 69744 75556 82968 89882 113334 134823 151112 165936 179764 226668 269646 302224 359528 453336 539292 719056 906672 1078584 2157168 5023021 10046042 15069063 20092084 30138126 40184168 60276252 65299273 80368336 120552504 130598546 195897819 241105008 261197092 391795638 522394184 783591276 1044788368 1567182552 3134365104