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3134410000 = 24543110111
BaseRepresentation
bin1011101011010011…
…0100110100010000
322002102221112012021
42322310310310100
522404402110000
61235005141224
7140450021401
oct27264646420
98072845167
103134410000
111369324697
1273585a814
133ac4b5397
1421a3d39a8
1513529411a
hexbad34d10

3134410000 has 100 divisors (see below), whose sum is σ = 7834292224. Its totient is φ = 1213200000.

The previous prime is 3134409997. The next prime is 3134410001. The reversal of 3134410000 is 144313.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (3134410001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304945 + ... + 315055.

Almost surely, 23134410000 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 3134410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917146112).

3134410000 is an abundant number, since it is smaller than the sum of its proper divisors (4699882224).

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

3134410000 is a wasteful number, since it uses less digits than its factorization.

3134410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3134410000 is about 55985.8017715206. The cubic root of 3134410000 is about 1463.4748656555.

Adding to 3134410000 its reverse (144313), we get a palindrome (3134554313).

The spelling of 3134410000 in words is "three billion, one hundred thirty-four million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 1000 1240 1250 1550 2000 2480 2500 3100 3875 5000 6200 7750 10000 10111 12400 15500 19375 20222 31000 38750 40444 50555 62000 77500 80888 101110 155000 161776 202220 252775 310000 313441 404440 505550 626882 808880 1011100 1253764 1263875 1567205 2022200 2507528 2527750 3134410 4044400 5015056 5055500 6268820 6319375 7836025 10111000 12537640 12638750 15672050 20222000 25075280 25277500 31344100 39180125 50555000 62688200 78360250 101110000 125376400 156720500 195900625 313441000 391801250 626882000 783602500 1567205000 3134410000