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3023434000 = 24532236779
BaseRepresentation
bin1011010000110101…
…1111000100010000
321210201010100202001
42310031133010100
522142444342000
61220002403344
7134631523246
oct26415370420
97721110661
103023434000
111311716794
12704660554
133924caa02
14209786796
1512a67246a
hexb435f110

3023434000 has 80 divisors (see below), whose sum is σ = 7344529920. Its totient is φ = 1203772800.

The previous prime is 3023433983. The next prime is 3023434067. The reversal of 3023434000 is 4343203.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442611 + ... + 449389.

It is an arithmetic number, because the mean of its divisors is an integer number (91806624).

Almost surely, 23023434000 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 3023434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672264960).

3023434000 is an abundant number, since it is smaller than the sum of its proper divisors (4321095920).

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

3023434000 is a wasteful number, since it uses less digits than its factorization.

3023434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7009 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3023434000 is about 54985.7617933952. The cubic root of 3023434000 is about 1445.9951319417.

Adding to 3023434000 its reverse (4343203), we get a palindrome (3027777203).

The spelling of 3023434000 in words is "three billion, twenty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 446 500 892 1000 1115 1784 2000 2230 3568 4460 5575 6779 8920 11150 13558 17840 22300 27116 27875 33895 44600 54232 55750 67790 89200 108464 111500 135580 169475 223000 271160 338950 446000 542320 677900 847375 1355800 1511717 1694750 2711600 3023434 3389500 6046868 6779000 7558585 12093736 13558000 15117170 24187472 30234340 37792925 60468680 75585850 120937360 151171700 188964625 302343400 377929250 604686800 755858500 1511717000 3023434000