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3134210000 = 24542313627
BaseRepresentation
bin1011101011010000…
…0011111111010000
322002102120100211212
42322310003333100
522404324210000
61235000555252
7140445226325
oct27264037720
98072510755
103134210000
1113691a83a9
12735782b28
133ac44533c
1421a380b4c
15135254c35
hexbad03fd0

3134210000 has 100 divisors (see below), whose sum is σ = 7918740192. Its totient is φ = 1199088000.

The previous prime is 3134209973. The next prime is 3134210011. The reversal of 3134210000 is 124313.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 223187 + ... + 236813.

Almost surely, 23134210000 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 3134210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959370096).

3134210000 is an abundant number, since it is smaller than the sum of its proper divisors (4784530192).

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

3134210000 is a wasteful number, since it uses less digits than its factorization.

3134210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3134210000 is about 55984.0155758767. The cubic root of 3134210000 is about 1463.4437379262.

Adding to 3134210000 its reverse (124313), we get a palindrome (3134334313).

The spelling of 3134210000 in words is "three billion, one hundred thirty-four million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 13627 14375 23000 27254 28750 46000 54508 57500 68135 109016 115000 136270 218032 230000 272540 313421 340675 545080 626842 681350 1090160 1253684 1362700 1567105 1703375 2507368 2725400 3134210 3406750 5014736 5450800 6268420 6813500 7835525 8516875 12536840 13627000 15671050 17033750 25073680 27254000 31342100 34067500 39177625 62684200 68135000 78355250 125368400 136270000 156710500 195888125 313421000 391776250 626842000 783552500 1567105000 3134210000