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3034142000 = 24532575903
BaseRepresentation
bin1011010011011001…
…0101010100110000
321211110021101100122
42310312111110300
522203220021000
61221024105412
7135121532021
oct26466252460
97743241318
103034142000
11131776a87a
12708165268
133947a98c6
1420ad72c48
1512b58a085
hexb4d95530

3034142000 has 80 divisors (see below), whose sum is σ = 7366349952. Its totient is φ = 1208729600.

The previous prime is 3034141927. The next prime is 3034142003. The reversal of 3034142000 is 2414303.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3034142000.

It is not an unprimeable number, because it can be changed into a prime (3034142003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511049 + ... + 516951.

Almost surely, 23034142000 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 3034142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683174976).

3034142000 is an abundant number, since it is smaller than the sum of its proper divisors (4332207952).

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

3034142000 is a wasteful number, since it uses less digits than its factorization.

3034142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3034142000 is about 55083.0463936046. The cubic root of 3034142000 is about 1447.7001989130.

Adding to 3034142000 its reverse (2414303), we get a palindrome (3036556303).

The spelling of 3034142000 in words is "three billion, thirty-four million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 257 400 500 514 1000 1028 1285 2000 2056 2570 4112 5140 5903 6425 10280 11806 12850 20560 23612 25700 29515 32125 47224 51400 59030 64250 94448 102800 118060 128500 147575 236120 257000 295150 472240 514000 590300 737875 1180600 1475750 1517071 2361200 2951500 3034142 5903000 6068284 7585355 11806000 12136568 15170710 24273136 30341420 37926775 60682840 75853550 121365680 151707100 189633875 303414200 379267750 606828400 758535500 1517071000 3034142000