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3134344200 = 2335213401839
BaseRepresentation
bin1011101011010010…
…0100110000001000
322002102211011221020
42322310210300020
522404343003300
61235003512440
7140446325511
oct27264446010
98072734836
103134344200
11136928a209
12735828720
133ac491450
1421a3b7a08
1513527e8a0
hexbad24c08

3134344200 has 96 divisors (see below), whose sum is σ = 10463913600. Its totient is φ = 771528960.

The previous prime is 3134344141. The next prime is 3134344201. The reversal of 3134344200 is 24434313.

It is a super-2 number, since 2×31343442002 = 19648227128147280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3134344201) 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 23 ways as a sum of consecutive naturals, for example, 193120 + ... + 208719.

It is an arithmetic number, because the mean of its divisors is an integer number (108999100).

Almost surely, 23134344200 is an apocalyptic number.

3134344200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134344200 is an abundant number, since it is smaller than the sum of its proper divisors (7329569400).

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

3134344200 is a wasteful number, since it uses less digits than its factorization.

3134344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401871 (or 401862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3134344200 is about 55985.2141194441. The cubic root of 3134344200 is about 1463.4646247787.

Adding to 3134344200 its reverse (24434313), we get a palindrome (3158778513).

The spelling of 3134344200 in words is "three billion, one hundred thirty-four million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 401839 803678 1205517 1607356 2009195 2411034 3214712 4018390 4822068 5223907 6027585 8036780 9644136 10045975 10447814 12055170 15671721 16073560 20091950 20895628 24110340 26119535 30137925 31343442 40183900 41791256 48220680 52239070 60275850 62686884 78358605 80367800 104478140 120551700 125373768 130597675 156717210 208956280 241103400 261195350 313434420 391793025 522390700 626868840 783586050 1044781400 1567172100 3134344200